求导函数：
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
本次共计算 1 个题目：每一题对 x 求 4 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数log_{log_{2}^{x}}^{log_{7}^{x}} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( log_{log_{2}^{x}}^{log_{7}^{x}}\right)}{dx}\\=&(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})\\=&\frac{1}{xlog(7, x)ln(7)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{xlog(2, x)ln(2)ln(log_{2}^{x})}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{1}{xlog(7, x)ln(7)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{xlog(2, x)ln(2)ln(log_{2}^{x})}\right)}{dx}\\=&\frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{xln(7)ln(log_{2}^{x})} + \frac{-0}{xlog(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{xlog(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{xln(2)ln(log_{2}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{xlog(2, x)ln(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{xlog(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{xlog(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{1}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{1}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})}\right)}{dx}\\=&\frac{--2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}ln(7)ln(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{-2*0}{x^{2}{\left(log(7, x)^{2}ln^{3}(7)(7)ln(log_{2}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{2}log(7, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)log(2, x)ln^{2}(7)(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{2}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{-0}{x^{2}log(7, x)log(2, x)ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)log(2, x)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} - \frac{-0}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln(2)ln(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{x^{2}log(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{3}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{1}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{1}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{2}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{3}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{1}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{1}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{2}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})}\right)}{dx}\\=&\frac{2*-3}{x^{4}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}ln(7)ln(log_{2}^{x})} + \frac{2*-0}{x^{3}log(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} + \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{3*-3}{x^{4}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}ln^{2}(7)ln(log_{2}^{x})} + \frac{3*-2*0}{x^{3}{\left(log(7, x)^{2}ln^{3}(7)(7)ln(log_{2}^{x})} + \frac{3*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{3*-3}{x^{4}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}log(7, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln^{2}(7)(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} + \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{4}(ln(7))})}{x^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2*-3*0}{x^{3}{\left(log(7, x)^{3}ln^{4}(7)(7)ln(log_{2}^{x})} + \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{3}(7)(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} + \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{3}(2)(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln^{2}(7)(7)ln^{2}(log_{2}^{x})} + \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(7)(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{4}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)(2)} + \frac{3*-3}{x^{4}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)log(2, x)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{-3}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{-2*0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{3}(7)(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} + \frac{-0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(7)(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(2)(2)ln^{3}(log_{2}^{x})} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})} + \frac{-3}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{-0}{x^{3}log(7, x){\left(log(2, x)^{2}ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{-2*0}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{3}(2)(2)} + \frac{2*-3}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-0}{x^{3}log(7, x){\left(log(2, x)^{2}ln^{2}(7)(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{4}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{2*-2*0}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)(2)} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{2}(2)ln(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})}{x^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{5*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln(2)ln(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{x^{3}log(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})}{x^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})} - \frac{4*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{-6}{x^{4}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{11}{x^{4}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{11}{x^{4}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}{\left(log(7, x)^{4}ln^{4}(7)ln(log_{2}^{x})} - \frac{6}{x^{4}{\left(log(7, x)^{3}log(2, x)ln^{3}(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{3}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(2)ln^{2}(7)ln^{2}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln(7)ln^{2}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln^{3}(log_{2}^{x})ln(7)} - \frac{12}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln(7)ln^{3}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{12}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{3}(2)ln^{4}(log_{2}^{x})} - \frac{11}{x^{4}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{6}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{3}log(2, x)ln^{3}(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{2}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{6}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{4}(log_{2}^{x})ln^{3}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} - \frac{1}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})ln^{2}(2)} - \frac{2}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{12}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)} - \frac{2}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{2}(log_{2}^{x})ln^{3}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{30log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{20log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{30log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{12log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{24log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln(log_{2}^{x})} + \frac{12log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} + \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{18log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})}\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数log_{log_{2}^{x}}^{log_{7}^{x}} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( log_{log_{2}^{x}}^{log_{7}^{x}}\right)}{dx}\\=&(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})\\=&\frac{1}{xlog(7, x)ln(7)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{xlog(2, x)ln(2)ln(log_{2}^{x})}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{1}{xlog(7, x)ln(7)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{xlog(2, x)ln(2)ln(log_{2}^{x})}\right)}{dx}\\=&\frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{xln(7)ln(log_{2}^{x})} + \frac{-0}{xlog(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{xlog(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{xln(2)ln(log_{2}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{xlog(2, x)ln(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{xlog(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{xlog(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{1}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-1}{x^{2}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{1}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{1}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})}\right)}{dx}\\=&\frac{--2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}ln(7)ln(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{-2*0}{x^{2}{\left(log(7, x)^{2}ln^{3}(7)(7)ln(log_{2}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{2}log(7, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)log(2, x)ln^{2}(7)(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{-0}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)log(2, x)ln(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{-2}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{2}log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{2}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{-0}{x^{2}log(7, x)log(2, x)ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(7, x)log(2, x)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} - \frac{-0}{x^{2}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln(2)ln(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{x^{2}log(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}log(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{-2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{2}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} + \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{2}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{3}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{1}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{1}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{2}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{2}{x^{3}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{3}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{3}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{1}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{2}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{1}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{2}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})}\right)}{dx}\\=&\frac{2*-3}{x^{4}log(7, x)ln(7)ln(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}ln(7)ln(log_{2}^{x})} + \frac{2*-0}{x^{3}log(7, x)ln^{2}(7)(7)ln(log_{2}^{x})} + \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{3*-3}{x^{4}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} + \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}ln^{2}(7)ln(log_{2}^{x})} + \frac{3*-2*0}{x^{3}{\left(log(7, x)^{2}ln^{3}(7)(7)ln(log_{2}^{x})} + \frac{3*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{3*-3}{x^{4}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}log(7, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln^{2}(7)(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} + \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)log(2, x)ln(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{4}(ln(7))})}{x^{3}ln^{3}(7)ln(log_{2}^{x})} + \frac{2*-3*0}{x^{3}{\left(log(7, x)^{3}ln^{4}(7)(7)ln(log_{2}^{x})} + \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{3}ln^{3}(7)ln^{2}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{3}(7)(7)ln(2)ln^{2}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(2)(2)ln^{2}(log_{2}^{x})} + \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{3}(2)(2)ln(7)ln^{2}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln^{2}(7)(7)ln^{2}(log_{2}^{x})} + \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(7)(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{4}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)(2)} + \frac{3*-3}{x^{4}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x)log(2, x)ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} + \frac{3*-0}{x^{3}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{-3}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{3}(ln(7))})}{x^{3}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})}{x^{3}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{-2*0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{3}(7)(7)ln^{2}(log_{2}^{x})ln(2)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln(2)} + \frac{-0}{x^{3}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln^{2}(2)(2)} + \frac{2*-3}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2*-0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln^{2}(7)(7)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2*-2*0}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(2)(2)ln^{3}(log_{2}^{x})} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})} + \frac{-3}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{-0}{x^{3}log(7, x){\left(log(2, x)^{2}ln^{2}(7)(7)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{-2*0}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{3}(2)(2)} + \frac{2*-3}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{{\left(log(7, x)^{2}(ln(7))})}{x^{3}{\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-0}{x^{3}log(7, x){\left(log(2, x)^{2}ln^{2}(7)(7)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{4}(log_{2}^{x})(log_{2}^{x})ln^{2}(2)} + \frac{2*-2*0}{x^{3}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)(2)} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{2}(2)ln(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})}{x^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{2}(log_{2}^{x})} - \frac{log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{5*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{2}(log_{2}^{x})} - \frac{5log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{2}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln(2)ln(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}log(2, x)ln(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-0}{x^{3}log(2, x)ln^{2}(2)(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}log(2, x)ln(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})}{x^{3}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{3*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{3}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2*0}{x^{3}{\left(log(2, x)^{2}ln^{3}(2)(2)ln^{2}(log_{2}^{x})} - \frac{3log_{log_{2}^{x}}^{log_{7}^{x}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})(log_{2}^{x})} - \frac{2*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})}{x^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{3}(log_{2}^{x})} - \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})} - \frac{4*-3log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{{\left(log(2, x)^{4}(ln(2))})log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4(\frac{(\frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{7}^{x}}{(7)})}{(ln(7))}))}{(log_{7}^{x})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}))log_{log_{2}^{x}}^{log_{7}^{x}}}{(log_{2}^{x})})}{(ln(log_{2}^{x}))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}*-3*0}{x^{3}{\left(log(2, x)^{3}ln^{4}(2)(2)ln^{3}(log_{2}^{x})} - \frac{4log_{log_{2}^{x}}^{log_{7}^{x}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))})}{x^{3}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(log_{2}^{x})(log_{2}^{x})}\\=&\frac{-6}{x^{4}log(7, x)ln(7)ln(log_{2}^{x})} - \frac{11}{x^{4}{\left(log(7, x)^{2}ln^{2}(7)ln(log_{2}^{x})} - \frac{11}{x^{4}log(7, x)log(2, x)ln(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(7, x)^{3}ln^{3}(7)ln(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln^{2}(2)ln(7)ln^{2}(log_{2}^{x})} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}{\left(log(7, x)^{4}ln^{4}(7)ln(log_{2}^{x})} - \frac{6}{x^{4}{\left(log(7, x)^{3}log(2, x)ln^{3}(7)ln(2)ln^{2}(log_{2}^{x})} - \frac{3}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(2)ln^{2}(7)ln^{2}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln(7)ln^{2}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(2)ln^{2}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln^{3}(log_{2}^{x})ln(7)} - \frac{12}{x^{4}{\left(log(2, x)^{3}log(7, x)ln^{3}(2)ln(7)ln^{3}(log_{2}^{x})} - \frac{4}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{12}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{3}(2)ln^{4}(log_{2}^{x})} - \frac{11}{x^{4}log(7, x)log(2, x)ln(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{6}{x^{4}{\left(log(7, x)^{2}log(2, x)ln^{2}(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{12}{x^{4}{\left(log(2, x)^{2}log(7, x)ln(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{3}log(2, x)ln^{3}(7)ln^{2}(log_{2}^{x})ln(2)} - \frac{2}{x^{4}{\left(log(2, x)^{2}{\left(log(7, x)^{2}ln^{2}(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{2}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(2)ln^{3}(log_{2}^{x})} - \frac{6}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{4}(log_{2}^{x})ln^{3}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{2}(log_{2}^{x})ln^{2}(2)} - \frac{1}{x^{4}{\left(log(7, x)^{2}{\left(log(2, x)^{2}ln^{2}(7)ln^{2}(log_{2}^{x})ln^{2}(2)} - \frac{2}{x^{4}{\left(log(2, x)^{3}log(7, x)ln(7)ln^{3}(2)ln^{3}(log_{2}^{x})} - \frac{12}{x^{4}log(7, x){\left(log(2, x)^{2}ln(7)ln^{3}(log_{2}^{x})ln^{2}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{3}(log_{2}^{x})ln^{3}(2)} - \frac{2}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{2}(log_{2}^{x})ln^{3}(2)} - \frac{6}{x^{4}log(7, x){\left(log(2, x)^{3}ln(7)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{30log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{20log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{30log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{11log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{12log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{24log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln(log_{2}^{x})} + \frac{12log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} + \frac{2log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{6log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{18log_{log_{2}^{x}}^{log_{7}^{x}}}{x^{4}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})}\\ \end{split}\end{equation} \]
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