本次共计算 5 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/5】求函数e^{x} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{x}\right)}{dx}\\=&e^{x}\\=&e^{x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( e^{x}\right)}{dx}\\=&e^{x}\\=&e^{x}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( e^{x}\right)}{dx}\\=&e^{x}\\=&e^{x}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( e^{x}\right)}{dx}\\=&e^{x}\\=&e^{x}\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}【2/5】求函数e^{lg(x)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{lg(x)}\right)}{dx}\\=&\frac{e^{lg(x)}}{ln{10}(x)}\\=&\frac{e^{lg(x)}}{xln{10}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{e^{lg(x)}}{xln{10}}\right)}{dx}\\=&\frac{-e^{lg(x)}}{x^{2}ln{10}} + \frac{e^{lg(x)}}{xln{10}(x)ln{10}} + \frac{e^{lg(x)}*-0}{xln^{2}{10}}\\=&\frac{-e^{lg(x)}}{x^{2}ln{10}} + \frac{e^{lg(x)}}{x^{2}ln^{2}{10}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-e^{lg(x)}}{x^{2}ln{10}} + \frac{e^{lg(x)}}{x^{2}ln^{2}{10}}\right)}{dx}\\=&\frac{--2e^{lg(x)}}{x^{3}ln{10}} - \frac{e^{lg(x)}}{x^{2}ln{10}(x)ln{10}} - \frac{e^{lg(x)}*-0}{x^{2}ln^{2}{10}} + \frac{-2e^{lg(x)}}{x^{3}ln^{2}{10}} + \frac{e^{lg(x)}}{x^{2}ln{10}(x)ln^{2}{10}} + \frac{e^{lg(x)}*-2*0}{x^{2}ln^{3}{10}}\\=&\frac{2e^{lg(x)}}{x^{3}ln{10}} - \frac{3e^{lg(x)}}{x^{3}ln^{2}{10}} + \frac{e^{lg(x)}}{x^{3}ln^{3}{10}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{2e^{lg(x)}}{x^{3}ln{10}} - \frac{3e^{lg(x)}}{x^{3}ln^{2}{10}} + \frac{e^{lg(x)}}{x^{3}ln^{3}{10}}\right)}{dx}\\=&\frac{2*-3e^{lg(x)}}{x^{4}ln{10}} + \frac{2e^{lg(x)}}{x^{3}ln{10}(x)ln{10}} + \frac{2e^{lg(x)}*-0}{x^{3}ln^{2}{10}} - \frac{3*-3e^{lg(x)}}{x^{4}ln^{2}{10}} - \frac{3e^{lg(x)}}{x^{3}ln{10}(x)ln^{2}{10}} - \frac{3e^{lg(x)}*-2*0}{x^{3}ln^{3}{10}} + \frac{-3e^{lg(x)}}{x^{4}ln^{3}{10}} + \frac{e^{lg(x)}}{x^{3}ln{10}(x)ln^{3}{10}} + \frac{e^{lg(x)}*-3*0}{x^{3}ln^{4}{10}}\\=&\frac{-6e^{lg(x)}}{x^{4}ln{10}} + \frac{11e^{lg(x)}}{x^{4}ln^{2}{10}} - \frac{6e^{lg(x)}}{x^{4}ln^{3}{10}} + \frac{e^{lg(x)}}{x^{4}ln^{4}{10}}\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}【3/5】求函数e^{lg(xx - 2x - 3)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = e^{lg(x^{2} - 2x - 3)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{lg(x^{2} - 2x - 3)}\right)}{dx}\\=&\frac{e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{ln{10}(x^{2} - 2x - 3)}\\=&\frac{2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}} - \frac{2e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}} - \frac{2e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}}\right)}{dx}\\=&\frac{2(\frac{-(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}})xe^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{2e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}} + \frac{2xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{2xe^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)ln^{2}{10}} - \frac{2(\frac{-(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}})e^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{2e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{2e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)ln^{2}{10}}\\=&\frac{-4x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{8xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{2e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}} + \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{8xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{4e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{4e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-4x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{8xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{2e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)ln{10}} + \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{8xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{4e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{4e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}}\right)}{dx}\\=&\frac{-4(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})x^{2}e^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{4*2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{8(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})xe^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{8e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{8xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{8xe^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{2(\frac{-(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}})e^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{2e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{2e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)ln^{2}{10}} + \frac{4(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})x^{2}e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} + \frac{4*2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} + \frac{4x^{2}e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{2}ln^{3}{10}} - \frac{8(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})xe^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} - \frac{8e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{8xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} - \frac{8xe^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{2}ln^{3}{10}} - \frac{4(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})e^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{4e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{4e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{4(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} + \frac{4e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} + \frac{4e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{2}ln^{3}{10}}\\=&\frac{16x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{48x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{12xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{24x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{72x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{48xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{72xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{12xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{8x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{24x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{24xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{16e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{24e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{8e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{16x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{48x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{12xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{24x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{72x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{48xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{72xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{12xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{8x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{24x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{24xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{16e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{24e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{8e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}}\right)}{dx}\\=&\frac{16(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{3}e^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{16*3x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{16x^{3}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{16x^{3}e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{48(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{2}e^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{48*2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{48x^{2}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{48x^{2}e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{12(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})xe^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} - \frac{12xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{12xe^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{24(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{3}e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} - \frac{24*3x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{24x^{3}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} - \frac{24x^{3}e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{72(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{2}e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} + \frac{72*2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{72x^{2}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} + \frac{72x^{2}e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{48(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})xe^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{48e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{48xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{48xe^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{12(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})e^{lg(x^{2} - 2x - 3)}}{ln{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} - \frac{72(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})xe^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} - \frac{72e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{72xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} - \frac{72xe^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{12(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})xe^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{12xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} + \frac{12xe^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{2}ln^{3}{10}} - \frac{12(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}})e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{2}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{2}ln^{3}{10}} + \frac{8(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{3}e^{lg(x^{2} - 2x - 3)}}{ln^{3}{10}} + \frac{8*3x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{8x^{3}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{3}{10}} + \frac{8x^{3}e^{lg(x^{2} - 2x - 3)}*-3*0}{(x^{2} - 2x - 3)^{3}ln^{4}{10}} - \frac{24(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})x^{2}e^{lg(x^{2} - 2x - 3)}}{ln^{3}{10}} - \frac{24*2xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{24x^{2}e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{3}{10}} - \frac{24x^{2}e^{lg(x^{2} - 2x - 3)}*-3*0}{(x^{2} - 2x - 3)^{3}ln^{4}{10}} + \frac{24(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})xe^{lg(x^{2} - 2x - 3)}}{ln^{3}{10}} + \frac{24e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{24xe^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{3}{10}} + \frac{24xe^{lg(x^{2} - 2x - 3)}*-3*0}{(x^{2} - 2x - 3)^{3}ln^{4}{10}} - \frac{16(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})e^{lg(x^{2} - 2x - 3)}}{ln{10}} - \frac{16e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln{10}} - \frac{16e^{lg(x^{2} - 2x - 3)}*-0}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{24(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})e^{lg(x^{2} - 2x - 3)}}{ln^{2}{10}} + \frac{24e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{2}{10}} + \frac{24e^{lg(x^{2} - 2x - 3)}*-2*0}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} - \frac{8(\frac{-3(2x - 2 + 0)}{(x^{2} - 2x - 3)^{4}})e^{lg(x^{2} - 2x - 3)}}{ln^{3}{10}} - \frac{8e^{lg(x^{2} - 2x - 3)}(2x - 2 + 0)}{(x^{2} - 2x - 3)^{3}ln{10}(x^{2} - 2x - 3)ln^{3}{10}} - \frac{8e^{lg(x^{2} - 2x - 3)}*-3*0}{(x^{2} - 2x - 3)^{3}ln^{4}{10}}\\=&\frac{-96x^{4}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln{10}} + \frac{384x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln{10}} + \frac{96x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{176x^{4}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{2}{10}} - \frac{704x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{2}{10}} - \frac{576x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln{10}} - \frac{192xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} + \frac{1056x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{2}{10}} - \frac{144x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln{10}} + \frac{288xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} - \frac{96x^{4}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{3}{10}} + \frac{384x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{3}{10}} - \frac{576x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{3}{10}} + \frac{48x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{384xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln{10}} + \frac{96e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln{10}} - \frac{704xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{2}{10}} - \frac{144e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{2}{10}} + \frac{12e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{2}ln^{2}{10}} + \frac{384xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{3}{10}} - \frac{96xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{48e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{3}ln^{3}{10}} + \frac{16x^{4}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{4}{10}} - \frac{64x^{3}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{4}{10}} + \frac{96x^{2}e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{4}{10}} - \frac{64xe^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{4}{10}} - \frac{96e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln{10}} + \frac{176e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{2}{10}} - \frac{96e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{3}{10}} + \frac{16e^{lg(x^{2} - 2x - 3)}}{(x^{2} - 2x - 3)^{4}ln^{4}{10}}\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}【4/5】求函数e^{lg(cos(x)cos(x) - 2cos(x) - 3)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = e^{lg(cos^{2}(x) - 2cos(x) - 3)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{lg(cos^{2}(x) - 2cos(x) - 3)}\right)}{dx}\\=&\frac{e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)}{ln{10}(cos^{2}(x) - 2cos(x) - 3)}\\=&\frac{-2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\right)}{dx}\\=&\frac{-2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\=&\frac{-4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\right)}{dx}\\=&\frac{-4(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{8(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{ln^{2}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{8(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{ln^{2}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{4(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{4(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{ln^{2}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} + \frac{4e^{lg(cos^{2}(x) - 2cos(x) - 3)}*2sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\=&\frac{-16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\right)}{dx}\\=&\frac{-16(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{ln{10}} - \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} - \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-3cos^{2}(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{48(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{24(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{ln^{2}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-3cos^{2}(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{72(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{ln^{2}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-3cos^{2}(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{8(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{3}(x)}{ln^{3}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{3}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-3*0sin^{3}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{4}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-3cos^{2}(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos^{2}(x)}{ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-3*0sin^{3}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{4}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{24(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{3}(x)}{ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-3cos^{2}(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{24(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos^{2}(x)}{ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-2cos(x)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{48(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{ln{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{72(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{ln^{2}{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{72e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{24(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)cos(x)}{ln^{3}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{3}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-3*0sin^{3}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{4}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{8(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)cos(x)}{ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)*-sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{24(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{12(\frac{-2(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{3}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-2*0sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{3}{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{16(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{ln{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{8(\frac{-3(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{4}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{3}(x)}{ln^{3}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}(cos^{2}(x) - 2cos(x) - 3)ln^{3}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-3*0sin^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{4}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}*3sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{2(\frac{-(-2cos(x)sin(x) - 2*-sin(x) + 0)}{(cos^{2}(x) - 2cos(x) - 3)^{2}})e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin(x)}{ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}(-2cos(x)sin(x) - 2*-sin(x) + 0)sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}*-0sin(x)}{(cos^{2}(x) - 2cos(x) - 3)ln^{2}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\=&\frac{-96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln{10}} + \frac{384e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln{10}} + \frac{176e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{2}{10}} - \frac{704e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{2}{10}} - \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} - \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{3}{10}} + \frac{384e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{3}{10}} + \frac{288e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{192e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} - \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{432e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{88e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} - \frac{576e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln{10}} + \frac{1056e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{2}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{4}{10}} - \frac{64e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{4}{10}} - \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{288e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{88e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{288e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{432e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{576e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{3}{10}} - \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} - \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{4}{10}} - \frac{104e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{104e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} - \frac{24e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{3}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} + \frac{384e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln{10}} - \frac{704e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{384e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{3}{10}} - \frac{64e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)cos(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{4}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln{10}} + \frac{48e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{3}{10}} + \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln{10}} + \frac{12e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} - \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{2}ln^{2}{10}} + \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{8e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{2}(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}} - \frac{144e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{3}ln^{2}{10}} - \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln{10}} - \frac{96e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{3}{10}} + \frac{176e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{2}{10}} + \frac{16e^{lg(cos^{2}(x) - 2cos(x) - 3)}sin^{4}(x)}{(cos^{2}(x) - 2cos(x) - 3)^{4}ln^{4}{10}} - \frac{2e^{lg(cos^{2}(x) - 2cos(x) - 3)}cos(x)}{(cos^{2}(x) - 2cos(x) - 3)ln{10}}\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}【5/5】求函数e^{lg(cos(xxx)cos(xxx) - 2cos(xxx) - 3)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}\right)}{dx}\\=&\frac{e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}\\=&\frac{-6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\right)}{dx}\\=&\frac{-6(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln{10}} - \frac{6*2xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{6(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{ln{10}} + \frac{6*2xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{6x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\=&\frac{-36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\right)}{dx}\\=&\frac{-36(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{ln{10}} - \frac{36*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{72(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{ln{10}} + \frac{72*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{12(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{ln^{2}{10}} + \frac{36*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{72(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{ln^{2}{10}} - \frac{72*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{72x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{18(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{ln{10}} - \frac{18*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln{10}} + \frac{18*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{36(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln{10}} - \frac{36*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{ln{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{12xe^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{36(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln^{2}{10}} + \frac{36*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{36x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{18(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{ln{10}} + \frac{18*4x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{18x^{4}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\=&\frac{-432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{54x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{54x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\right)}{dx}\\=&\frac{-432(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{ln{10}} - \frac{432*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-3cos^{2}(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{1296(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{ln{10}} + \frac{1296*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{216(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{ln{10}} - \frac{216*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{648(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{ln^{2}{10}} + \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-3cos^{2}(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1944(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{ln^{2}{10}} - \frac{1944*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{ln{10}} - \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-3cos^{2}(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{ln{10}} + \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{432(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{ln{10}} + \frac{432*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{216(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{ln^{2}{10}} + \frac{216*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{216(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{ln^{3}{10}} - \frac{216*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{3}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-3*0sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{4}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-3cos^{2}(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{ln{10}} + \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{ln^{2}{10}} - \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{12(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{648(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{ln^{3}{10}} + \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-3*0sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{4}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{432(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{ln^{2}{10}} - \frac{432*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{432x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{108(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{ln{10}} - \frac{108*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln{10}} + \frac{216*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{1944(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{ln^{2}{10}} + \frac{1944*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{1944x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{ln^{2}{10}} + \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-3cos^{2}(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{648(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{ln^{2}{10}} - \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-2cos(x^{3})sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{1296(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{ln{10}} - \frac{1296*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{1296x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{ln^{3}{10}} - \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{3}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-3*0sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{4}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln{10}} - \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{ln^{2}{10}} + \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln{10}} + \frac{108*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{216(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln{10}} - \frac{216*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{ln{10}} - \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{12(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{ln{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{12e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{216(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{ln^{2}{10}} + \frac{216*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{216x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*2sin(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{108(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{ln{10}} + \frac{108*3x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{108x^{3}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-sin(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{432(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{ln{10}} + \frac{432*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{432x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{ln^{2}{10}} - \frac{648*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{648x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{216(\frac{-3(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{ln^{3}{10}} + \frac{216*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{3}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-3*0sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{4}{10}} + \frac{216x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{324(\frac{-2(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{ln^{2}{10}} + \frac{324*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-2*0sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{3}{10}} + \frac{324x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*3sin^{2}(x^{3})cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{54(\frac{-(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}})x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{ln{10}} - \frac{54*6x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{54x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}(-2cos(x^{3})sin(x^{3})*3x^{2} - 2*-sin(x^{3})*3x^{2} + 0)sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{54x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}*-0sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln^{2}{10}} - \frac{54x^{6}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})*3x^{2}}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\=&\frac{-7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln{10}} + \frac{31104x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln{10}} - \frac{5184x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{14256x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{2}{10}} - \frac{57024x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{2}{10}} - \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{15552x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{3}{10}} + \frac{23328x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{15552x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{720x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{31104x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{3}{10}} + \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{23328x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{85536x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{2}{10}} - \frac{46656x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln{10}} - \frac{2592x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{1296x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{4}{10}} - \frac{34992x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{23328x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{3888x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{7128x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{5184x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{4}{10}} + \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{1440x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{7128x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{46656x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{3}{10}} + \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{720x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{3888x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{8424x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{4}{10}} - \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{23328x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{34992x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{1944x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{8424x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{1440x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{360x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{2592x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{15552x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{23328x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{57024x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{2}{10}} + \frac{648x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{31104x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{3}{10}} + \frac{31104x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln{10}} - \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{3888x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} - \frac{1944x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{5184x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{4}{10}} + \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{648x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{360x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} - \frac{11664x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} - \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{1296x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{3888x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} + \frac{972x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{1296x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} - \frac{720x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln{10}} + \frac{720x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{2}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{2}ln^{2}{10}} + \frac{360x^{2}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} + \frac{5184x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln{10}} - \frac{7776x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{2}{10}} + \frac{3888x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{14256x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{2}{10}} - \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{3}{10}} - \frac{7776x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln{10}} + \frac{2592x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{3}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{3}ln^{3}{10}} + \frac{1296x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin^{4}(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)^{4}ln^{4}{10}} - \frac{648x^{5}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}sin(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}} - \frac{162x^{8}e^{lg(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)}cos(x^{3})}{(cos^{2}(x^{3}) - 2cos(x^{3}) - 3)ln{10}}\\ \end{split}\end{equation} \]

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