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。
\[ \begin{equation}\begin{split}【1/1】求函数log_{(x + 1)(x - 2)}^{x + 3}(x - 4) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = xlog_{x^{2} - x - 2}^{x + 3} - 4log_{x^{2} - x - 2}^{x + 3}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( xlog_{x^{2} - x - 2}^{x + 3} - 4log_{x^{2} - x - 2}^{x + 3}\right)}{dx}\\=&log_{x^{2} - x - 2}^{x + 3} + x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))}) - 4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})\\=&log_{x^{2} - x - 2}^{x + 3} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{x}{(x + 3)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4}{(x + 3)ln(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( log_{x^{2} - x - 2}^{x + 3} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{x}{(x + 3)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4}{(x + 3)ln(x^{2} - x - 2)}\right)}{dx}\\=&(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))}) - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{2*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{9(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{9log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{(\frac{-(1 + 0)}{(x + 3)^{2}})x}{ln(x^{2} - x - 2)} + \frac{1}{(x + 3)ln(x^{2} - x - 2)} + \frac{x*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(1 + 0)}{(x + 3)^{2}})}{ln(x^{2} - x - 2)} - \frac{4*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{-6xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2}{(x + 3)ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{x}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{2x^{2}}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{4}{(x + 3)^{2}ln(x^{2} - x - 2)} + \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-6xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2}{(x + 3)ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{x}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{2x^{2}}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{4}{(x + 3)^{2}ln(x^{2} - x - 2)} + \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{-6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{10(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})}{ln(x^{2} - x - 2)} + \frac{2*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{4*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{20(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{20*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{8*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{40(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{40*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}*-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 + 3)ln^{2}(x^{2} - x - 2)} - \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2*2x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{17(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{17log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{17x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{34(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{34log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{34x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{10(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{10}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{10x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{ln(x^{2} - x - 2)} - \frac{1}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{x*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})x^{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 + 3)ln^{2}(x^{2} - x - 2)} - \frac{2*2x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-2(1 + 0)}{(x + 3)^{3}})}{ln(x^{2} - x - 2)} + \frac{4*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8x*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{24x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{22}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{6x^{2}}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{51x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{86x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{26x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{2x}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x}{(x + 3)(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{24x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{22}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{6x^{2}}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{51x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{86x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{26x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{2x}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{24*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{24x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{24x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{66(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{66log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{6(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{48(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{48*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{48x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{132(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{132log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{10(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{10}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{10x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{27(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{27(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{54(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{54(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{22(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{22(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{22*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{3(\frac{-2(1 + 0)}{(x + 3)^{3}})}{ln(x^{2} - x - 2)} - \frac{3*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8x*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{16(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{16*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{88(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{88*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{48*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{264(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{264*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{12(\frac{-(1 + 0)}{(x + 3)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{12*3x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{108(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{108*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{108x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{324(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{324*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{324x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{60(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{60(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{60*2x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{48*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{264(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} + \frac{264*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24(\frac{-(1 + 0)}{(x + 3)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{24*3x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{324(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{324*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{116(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{116(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{116*2x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-2(1 + 0)}{(x + 3)^{3}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{6*2x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6x^{2}*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{50(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{50log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{50x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{150(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{150log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{150x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{51(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{51(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{51}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{51x*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{150(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} + \frac{150log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{150x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{86(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{86(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{86}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{86x*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{26(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{26(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{26}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{26x*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{24(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{24(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{12(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-3(1 + 0)}{(x + 3)^{4}})x}{ln(x^{2} - x - 2)} + \frac{2}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{2x*-(2x - 1 + 0)}{(x + 3)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{4*2x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{4x^{2}*-3(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{8(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}*-(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}})log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{24(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{24(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{24*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-2(1 + 0)}{(x + 3)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-3(1 + 0)}{(x + 3)^{4}})}{ln(x^{2} - x - 2)} - \frac{8*-(2x - 1 + 0)}{(x + 3)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{4(\frac{-2(1 + 0)}{(x + 3)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{4*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{8*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{16(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{16(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{16}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{16x*-3(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{-160x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{576x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{60xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{480x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{1728x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{456xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{72log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{1368xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{144x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{120xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{144log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{16}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{480x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{1728x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{120x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{1368xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{280x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{312log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{108}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{104log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{312log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{184}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{1188xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{144log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{96}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{56}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{726xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{88log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{32}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{248x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{96x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{576x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{352x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{2112x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{64x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{912x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{3344x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} + \frac{352x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{576x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{3456x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{192x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{5472x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} + \frac{1056x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{24x^{3}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{36x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{624x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{2288x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{432x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3744x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{1296x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{118x^{2}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{120x}{(x + 3)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{384x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{2304x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{192x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{3648x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} + \frac{1056x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} - \frac{24x^{3}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{2496x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{1284x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{132x^{2}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{16x^{2}}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{198xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{200x}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{600x}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{93x}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{792xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{96log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{96}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{552x}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} - \frac{154x}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{70x}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{108x^{2}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{20}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{6x}{(x + 3)^{4}ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 2)(x + 3)^{3}ln^{2}(x^{2} - x - 2)} + \frac{2x^{2}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{9x}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{50x}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} - \frac{12x^{2}}{(x + 3)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{40}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{24}{(x + 3)^{4}ln(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)^{3}ln^{2}(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{32}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{48x}{(x + 3)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)}\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数log_{(x + 1)(x - 2)}^{x + 3}(x - 4) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = xlog_{x^{2} - x - 2}^{x + 3} - 4log_{x^{2} - x - 2}^{x + 3}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( xlog_{x^{2} - x - 2}^{x + 3} - 4log_{x^{2} - x - 2}^{x + 3}\right)}{dx}\\=&log_{x^{2} - x - 2}^{x + 3} + x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))}) - 4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})\\=&log_{x^{2} - x - 2}^{x + 3} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{x}{(x + 3)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4}{(x + 3)ln(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( log_{x^{2} - x - 2}^{x + 3} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{x}{(x + 3)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4}{(x + 3)ln(x^{2} - x - 2)}\right)}{dx}\\=&(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))}) - \frac{2(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{2*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{2x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{9(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{9log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{9xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{(\frac{-(1 + 0)}{(x + 3)^{2}})x}{ln(x^{2} - x - 2)} + \frac{1}{(x + 3)ln(x^{2} - x - 2)} + \frac{x*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(1 + 0)}{(x + 3)^{2}})}{ln(x^{2} - x - 2)} - \frac{4*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{-6xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2}{(x + 3)ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{x}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{2x^{2}}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{4}{(x + 3)^{2}ln(x^{2} - x - 2)} + \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-6xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{2}{(x + 3)ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{x}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{2x^{2}}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{4}{(x + 3)^{2}ln(x^{2} - x - 2)} + \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{-6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{10(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{10log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})}{ln(x^{2} - x - 2)} + \frac{2*-(2x - 1 + 0)}{(x + 3)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{4*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{4x^{3}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{20(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{20*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{20x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{8*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8x^{3}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{40(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{40*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{40x^{2}log_{x^{2} - x - 2}^{x + 3}*-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 + 3)ln^{2}(x^{2} - x - 2)} - \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2*2x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{17(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{17log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{17x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{17xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{34(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{34log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{34x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{34xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{10(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{10}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{10x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{ln(x^{2} - x - 2)} - \frac{1}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{x*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{2(\frac{-(1 + 0)}{(x + 3)^{2}})x^{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 + 3)ln^{2}(x^{2} - x - 2)} - \frac{2*2x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{2x^{2}*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{4(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{4log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-2(1 + 0)}{(x + 3)^{3}})}{ln(x^{2} - x - 2)} + \frac{4*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8x*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{24x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{22}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{6x^{2}}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{51x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{86x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{26x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{2x}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x}{(x + 3)(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{24x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)ln(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{10x}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{22}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3}{(x + 3)^{2}ln(x^{2} - x - 2)} - \frac{8x}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{6x^{2}}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{51x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{86x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{26x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{12}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{2x}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{4x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{16x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)}\right)}{dx}\\=&\frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{24*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{24x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{24x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{66(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{66log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{66xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{6(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)ln(x^{2} - x - 2)} - \frac{6log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{48(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{48*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{48x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{48x^{2}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{132(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{132log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{132xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{10(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{10(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{10}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{10x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{27(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{27(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} + \frac{27log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{54(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{54(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{54log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{22(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{22(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{22*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{3(\frac{-2(1 + 0)}{(x + 3)^{3}})}{ln(x^{2} - x - 2)} - \frac{3*-(2x - 1 + 0)}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{8x*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{16(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{16*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{16x^{4}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{88(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{88*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{88x^{3}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{48*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{264(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{264*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{12(\frac{-(1 + 0)}{(x + 3)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{12*3x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{12x^{3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{108(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{108*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{108x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{108x^{2}log_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{324(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{324*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{324x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{60(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{60(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{60*2x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{60x^{2}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{48(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{4}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{48*4x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{4}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{48x^{4}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{264(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{3}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} + \frac{264*3x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{264x^{3}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{3}}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24(\frac{-(1 + 0)}{(x + 3)^{2}})x^{3}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{24*3x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24x^{3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{324(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})x^{2}log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{324*2xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{324x^{2}log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{116(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{116(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{116*2x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{116x^{2}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{6(\frac{-2(1 + 0)}{(x + 3)^{3}})x^{2}}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x^{2}}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{6*2x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{6x^{2}*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{50(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} + \frac{50log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{50x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{50xlog_{x^{2} - x - 2}^{x + 3}*-(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{150(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} + \frac{150log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{150x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{51(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{51(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{51}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{51x*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{150(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})xlog_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} + \frac{150log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{150x(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{150xlog_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{86(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{86(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{86}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{86x*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{26(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{26(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{26}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{26x*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{24(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x + 3}}{ln^{2}(x^{2} - x - 2)} - \frac{24(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{12(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{12(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{12*-2(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{2(\frac{-3(1 + 0)}{(x + 3)^{4}})x}{ln(x^{2} - x - 2)} + \frac{2}{(x + 3)^{3}ln(x^{2} - x - 2)} + \frac{2x*-(2x - 1 + 0)}{(x + 3)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})x}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{(\frac{-2(1 + 0)}{(x + 3)^{3}})x}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} - \frac{1}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{x*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{4(\frac{-(1 + 0)}{(x + 3)^{2}})x^{2}}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{4(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x^{2}}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{4*2x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{4x^{2}*-3(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-3(2x - 1 + 0)}{(x^{2} - x - 2)^{4}})log_{x^{2} - x - 2}^{x + 3}}{ln(x^{2} - x - 2)} - \frac{8(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{8log_{x^{2} - x - 2}^{x + 3}*-(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}})log_{x^{2} - x - 2}^{x + 3}}{ln^{3}(x^{2} - x - 2)} - \frac{24(\frac{(\frac{(1 + 0)}{(x + 3)} - \frac{(2x - 1 + 0)log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)})}{(ln(x^{2} - x - 2))})}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{24(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})}{(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{24(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{24*-3(2x - 1 + 0)}{(x^{2} - x - 2)^{2}(x + 3)ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-2(1 + 0)}{(x + 3)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8*-2(2x - 1 + 0)}{(x + 3)^{2}(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} - \frac{8(\frac{-3(1 + 0)}{(x + 3)^{4}})}{ln(x^{2} - x - 2)} - \frac{8*-(2x - 1 + 0)}{(x + 3)^{3}ln^{2}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{4(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{4(\frac{-2(1 + 0)}{(x + 3)^{3}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{4*-2(2x - 1 + 0)}{(x^{2} - x - 2)(x + 3)^{2}ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{8(\frac{-(1 + 0)}{(x + 3)^{2}})}{(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8(\frac{-(2x - 1 + 0)}{(x^{2} - x - 2)^{2}})}{(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{8*-2(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)ln^{3}(x^{2} - x - 2)(x^{2} - x - 2)} + \frac{16(\frac{-(1 + 0)}{(x + 3)^{2}})x}{(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{16(\frac{-2(2x - 1 + 0)}{(x^{2} - x - 2)^{3}})x}{(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{16}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{16x*-3(2x - 1 + 0)}{(x + 3)(x^{2} - x - 2)^{2}ln^{4}(x^{2} - x - 2)(x^{2} - x - 2)}\\=&\frac{-160x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{576x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{60xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{480x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{1728x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{60x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{456xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} - \frac{72log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln(x^{2} - x - 2)} - \frac{1368xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} - \frac{144x}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{120xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{144log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{16}{(x^{2} - x - 2)(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{480x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{1728x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{120x^{2}}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{1368xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} - \frac{280x}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{24x}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{312log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{2}(x^{2} - x - 2)} + \frac{108}{(x^{2} - x - 2)^{2}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{104log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln(x^{2} - x - 2)} + \frac{312log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{3}ln^{3}(x^{2} - x - 2)} + \frac{184}{(x^{2} - x - 2)^{2}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{1188xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{144log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{96}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{56}{(x + 3)^{2}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{8}{(x + 3)^{3}ln(x^{2} - x - 2)} - \frac{4}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{726xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{88log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{32}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{248x}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{96x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{576x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{352x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{2112x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{64x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{912x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{3344x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} + \frac{352x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{576x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{3456x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{192x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{5472x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} + \frac{1056x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{24x^{3}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{36x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{624x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{2288x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{2}(x^{2} - x - 2)} - \frac{432x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} - \frac{3744x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{3}(x^{2} - x - 2)} - \frac{1296x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} + \frac{118x^{2}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{120x}{(x + 3)(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{384x^{5}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{2304x^{4}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{192x^{4}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{3648x^{3}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} + \frac{1056x^{3}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} - \frac{24x^{3}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{72x^{2}}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{2496x^{2}log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{1284x^{2}}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{132x^{2}}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{16x^{2}}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{12x}{(x^{2} - x - 2)(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{24x^{3}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{198xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} + \frac{200x}{(x^{2} - x - 2)^{3}(x + 3)ln^{2}(x^{2} - x - 2)} + \frac{600x}{(x^{2} - x - 2)^{3}(x + 3)ln^{3}(x^{2} - x - 2)} - \frac{93x}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} + \frac{792xlog_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{96log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln^{4}(x^{2} - x - 2)} - \frac{96}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} + \frac{552x}{(x^{2} - x - 2)^{3}(x + 3)ln^{4}(x^{2} - x - 2)} - \frac{154x}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{70x}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{108x^{2}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{20}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{2}(x^{2} - x - 2)} - \frac{6x}{(x + 3)^{4}ln(x^{2} - x - 2)} + \frac{2x}{(x^{2} - x - 2)(x + 3)^{3}ln^{2}(x^{2} - x - 2)} + \frac{2x^{2}}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{9x}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} - \frac{50x}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} - \frac{12x^{2}}{(x + 3)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)} - \frac{24log_{x^{2} - x - 2}^{x + 3}}{(x^{2} - x - 2)^{4}ln(x^{2} - x - 2)} - \frac{8}{(x + 3)(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{40}{(x + 3)^{2}(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} - \frac{24}{(x + 3)^{3}(x^{2} - x - 2)ln^{2}(x^{2} - x - 2)} + \frac{24}{(x + 3)^{4}ln(x^{2} - x - 2)} - \frac{8}{(x^{2} - x - 2)(x + 3)^{3}ln^{2}(x^{2} - x - 2)} + \frac{4}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{2}(x^{2} - x - 2)} + \frac{8}{(x^{2} - x - 2)^{2}(x + 3)^{2}ln^{3}(x^{2} - x - 2)} + \frac{32}{(x + 3)(x^{2} - x - 2)^{2}ln^{3}(x^{2} - x - 2)} + \frac{48x}{(x + 3)(x^{2} - x - 2)^{3}ln^{4}(x^{2} - x - 2)}\\ \end{split}\end{equation} \]
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