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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。
    当前位置:求导函数 > 导函数计算历史 > 答案
    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。
\[ \begin{equation}\begin{split}【1/1】求函数log_{((x + 1)(x - 2))}^{(x + 3)(x - 4)} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = log_{x^{2} - x - 2}^{x^{2} - x - 12}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( log_{x^{2} - x - 2}^{x^{2} - x - 12}\right)}{dx}\\=&(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})\\=&\frac{-2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 12)ln(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 12)ln(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 12)ln(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 12)ln(x^{2} - x - 2)}\right)}{dx}\\=&\frac{-2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{ln(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)ln(x^{2} - x - 2)} + \frac{2x*-(2x - 1 + 0)}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{ln(x^{2} - x - 2)} - \frac{-(2x - 1 + 0)}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{4x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{8x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{6x}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)ln(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{4x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{8x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{6x}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)ln(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{4*2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{2}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{2(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} + \frac{8*2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{2}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4*2x}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{6x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} + \frac{2(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x^{2}}{ln(x^{2} - x - 2)} - \frac{4*2x}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} - \frac{4x^{2}*-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x}{ln(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{4x*-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{ln(x^{2} - x - 2)} + \frac{2*-(2x - 1 + 0)}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{4*2x}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})}{ln(x^{2} - x - 2)} - \frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{2x*-2(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{-16x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{24x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{36x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{18x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{24xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{10}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{48x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{64x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{32x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{32x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{14x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{3}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{6}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x^{3}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{24x^{2}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{6}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( \frac{-16x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{24x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{36x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{18x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{24xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{10}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{48x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{64x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{32x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{32x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{14x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{3}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{6}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x^{3}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{24x^{2}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{12x}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} - \frac{4x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{6}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{2}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{4x}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{-16(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{16*3x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{3}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{24*2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{24x^{2}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{24x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{12x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} - \frac{48*3x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{3}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{72(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} + \frac{72*2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{24(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{24*3x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{24x^{3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{36(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{36(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{36*2x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{36x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{12x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{12xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{6(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} - \frac{6(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{36(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} - \frac{36log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{36x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{18(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{18(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{18}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{18x*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} + \frac{24log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{24x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{24xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} - \frac{12(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{12(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{12x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{10*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{3}(x^{2} - x - 2)} - \frac{48*3x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{3}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{72(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{3}(x^{2} - x - 2)} + \frac{72*2xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{48(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{48(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{48*3x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{48x^{3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{64(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{64(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{64*2x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{64x^{2}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{36(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{3}(x^{2} - x - 2)} - \frac{36log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{36x(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{36xlog_{x^{2} - x - 2}^{x^{2} - x - 12}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{32(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{32(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{32}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{32x*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x^{3}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{24(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{3}}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{24*3x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{24x^{3}*-2(2x - 1 + 0)}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{32(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{32(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{32*2x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{32x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{12(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{12x*-2(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{14(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{14(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{14}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{14x*-2(2x - 1 + 0)}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{2}(x^{2} - x - 2)} + \frac{6(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{3(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{3(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{3*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln(x^{2} - x - 2)} + \frac{2(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{2log_{x^{2} - x - 2}^{x^{2} - x - 12}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x^{2} - x - 12}}{ln^{3}(x^{2} - x - 2)} + \frac{6(\frac{(\frac{(2x - 1 + 0)}{(x^{2} - x - 12)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{6(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{6*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2*-2(2x - 1 + 0)}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{16(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 12)^{4}})x^{3}}{ln(x^{2} - x - 2)} + \frac{16*3x^{2}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{16x^{3}*-(2x - 1 + 0)}{(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{24(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 12)^{4}})x^{2}}{ln(x^{2} - x - 2)} - \frac{24*2x}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{24x^{2}*-(2x - 1 + 0)}{(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x}{ln(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} - \frac{12x*-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4*2x}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{12(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 12)^{4}})x}{ln(x^{2} - x - 2)} + \frac{12}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{12x*-(2x - 1 + 0)}{(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})}{ln(x^{2} - x - 2)} + \frac{6*-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{4x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{8*2x}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8x^{2}*-3(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 12)^{4}})}{ln(x^{2} - x - 2)} - \frac{2*-(2x - 1 + 0)}{(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 12)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{2*-2(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 12)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{4x*-3(2x - 1 + 0)}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{96x^{4}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{192x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{96x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{352x^{4}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{704x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{128x^{4}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{256x^{3}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{144x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{96xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{528x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{192x^{2}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{12log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{288x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{288xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{72x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{576x^{4}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{1152x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{384x^{4}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{768x^{3}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{864x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{576x^{2}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} - \frac{48x^{4}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{104x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{84x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{72x}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{48xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{176xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} + \frac{64x}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{72log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{36}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{288xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} + \frac{192x}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{30x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{288xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{72log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{136x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{64}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{24log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{288x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{144x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{36log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{68x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{22log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} + \frac{26}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{384x^{4}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{768x^{3}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{384x^{4}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)} + \frac{768x^{3}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)} + \frac{576x^{2}log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{552x^{2}}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)} - \frac{192x^{4}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)} + \frac{320x^{3}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)} + \frac{144x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{208x^{2}}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)} - \frac{152x}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{192xlog_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} + \frac{180x}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)} + \frac{64x}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)} + \frac{24log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{3}(x^{2} - x - 12)ln^{4}(x^{2} - x - 2)} - \frac{128x^{4}}{(x^{2} - x - 12)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{240x^{3}}{(x^{2} - x - 12)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{88x^{3}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{72x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{64x^{3}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{168x^{2}}{(x^{2} - x - 12)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{76x}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{80x^{2}}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 12)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{52x}{(x^{2} - x - 12)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{18x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{32x}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{4}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} + \frac{6log_{x^{2} - x - 2}^{x^{2} - x - 12}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)(x^{2} - x - 12)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)^{2}(x^{2} - x - 12)^{2}ln^{3}(x^{2} - x - 2)} - \frac{6}{(x^{2} - x - 12)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4}{(x^{2} - x - 12)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{96x^{4}}{(x^{2} - x - 12)^{4}ln(x^{2} - x - 2)} + \frac{192x^{3}}{(x^{2} - x - 12)^{4}ln(x^{2} - x - 2)} + \frac{96x^{2}}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{16x^{3}}{(x^{2} - x - 2)(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)} - \frac{144x^{2}}{(x^{2} - x - 12)^{4}ln(x^{2} - x - 2)} - \frac{96x}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} - \frac{24x^{2}}{(x^{2} - x - 2)(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 12)^{2}ln(x^{2} - x - 2)} + \frac{48x}{(x^{2} - x - 12)^{4}ln(x^{2} - x - 2)} + \frac{24}{(x^{2} - x - 12)^{3}ln(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 2)(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)} + \frac{10}{(x^{2} - x - 2)(x^{2} - x - 12)^{2}ln^{2}(x^{2} - x - 2)} - \frac{24x^{2}}{(x^{2} - x - 12)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)} - \frac{6}{(x^{2} - x - 12)^{4}ln(x^{2} - x - 2)} - \frac{2}{(x^{2} - x - 2)(x^{2} - x - 12)^{3}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x^{2} - x - 12)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 12)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)}\\ \end{split}\end{equation} \]



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