数学
         
语言:中文    Language:English
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。
\[ \begin{equation}\begin{split}【1/1】求函数{(x + 1)}^{log_{(1 - x)}^{x + 1}} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = (x + 1)^{log_{-x + 1}^{x + 1}}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( (x + 1)^{log_{-x + 1}^{x + 1}}\right)}{dx}\\=&((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))\\=&\frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)}\right)}{dx}\\=&\frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-(-1 + 0)}{(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-(-1 + 0)}{(x + 1)ln^{2}(-x + 1)(-x + 1)} + (\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)}\\=&\frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}}\right)}{dx}\\=&\frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-(-1 + 0)}{(-x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(-x + 1)(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(-x + 1)(x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)*-(-1 + 0)}{(-x + 1)(x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{2}ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)ln(x + 1)}{(-x + 1)(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-2(-1 + 0)}{(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-2(-1 + 0)}{(x + 1)(-x + 1)ln^{3}(-x + 1)(-x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{ln(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{2}(x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-(-1 + 0)}{(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)ln(x + 1)}{(x + 1)(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)(-x + 1)ln(-x + 1)(x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*2ln(x + 1)(1 + 0)}{(x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)*-2(-1 + 0)}{(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-(-1 + 0)}{(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)(x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-2(-1 + 0)}{(-x + 1)(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}}{ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))}{(x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}*-(-1 + 0)}{(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{2}ln(-x + 1)(x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)ln(-x + 1)} + \frac{2(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)}{(x + 1)(-x + 1)ln^{2}(-x + 1)(-x + 1)} - (\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)^{2}} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{2}} + (\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{2}}\\=&\frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)(x + 1)^{2}ln(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{3}} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(x + 1)^{3}}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)(x + 1)^{2}ln(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{3}} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(x + 1)^{3}}\right)}{dx}\\=&\frac{2(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{3}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-(-1 + 0)}{(-x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{3(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{ln^{2}(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(-x + 1)^{3}ln^{2}(-x + 1)(x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)*-(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{3(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{3}ln^{2}(-x + 1)(x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{6(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{ln^{3}(-x + 1)} + \frac{6((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-3(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{3}ln^{4}(-x + 1)(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(-x + 1)^{3}ln^{3}(-x + 1)(x + 1)} + \frac{7(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{7(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{7((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-3(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(x + 1)} + \frac{3(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-2(-1 + 0)}{(-x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*-3(-1 + 0)ln^{3}(x + 1)}{(-x + 1)^{3}ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*3ln^{2}(x + 1)(1 + 0)}{(-x + 1)^{3}ln^{3}(-x + 1)(x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-3(-1 + 0)ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*3ln^{2}(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{7(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{7(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{7((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)(x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} - \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-3(-1 + 0)ln^{3}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*3ln^{2}(x + 1)(1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(x + 1)} + \frac{4(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{4(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-3(-1 + 0)ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)(x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*-3(-1 + 0)ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*2ln(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(x + 1)} + \frac{5(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{5(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{5((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)(x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)ln(-x + 1)} - \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)*-(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)*-2(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)*-(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{3(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{3(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-2(-1 + 0)ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{7(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{7(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{7((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{4(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{3}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-3(-1 + 0)ln(x + 1)}{(-x + 1)^{3}ln^{4}(-x + 1)(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{3}ln^{3}(-x + 1)(x + 1)} + \frac{4(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{4(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}*-3(-1 + 0)ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(x + 1)} + \frac{2(\frac{-3(-1 + 0)}{(-x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln^{3}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-3(-1 + 0)}{(-x + 1)^{3}ln^{4}(-x + 1)(-x + 1)} - \frac{2(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} - \frac{2(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} - \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-2(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} - \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*-3(-1 + 0)ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*2ln(x + 1)(1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(x + 1)} + \frac{2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{3}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-(-1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-2(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{5(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{5(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{5((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-2(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-3(-1 + 0)}{(x + 1)(-x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-3(-1 + 0)ln^{3}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*3ln^{2}(x + 1)(1 + 0)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)(x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-3(-1 + 0)ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*3ln^{2}(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*2ln(x + 1)(1 + 0)}{(-x + 1)(x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)*-2(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-3(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{4(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{4(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{2}(x + 1)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}*2ln(x + 1)(1 + 0)}{(-x + 1)(x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)*-3(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{4}(-x + 1)(-x + 1)} - \frac{2(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)ln(-x + 1)} - \frac{2(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} - \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)^{2}(-x + 1)ln(-x + 1)(x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)ln(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(-x + 1)^{2}(x + 1)ln(-x + 1)(x + 1)} - \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)(x + 1)^{2}(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-2(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)ln(x + 1)}{(x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(x + 1)} - \frac{3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{ln^{2}(-x + 1)} - \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}*2ln(x + 1)(1 + 0)}{(x + 1)^{3}(x + 1)ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)*-2(-1 + 0)}{(x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{4(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{ln^{2}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-2(-1 + 0)}{(x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} - \frac{3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} - \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{3}(x + 1)ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-(-1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(-x + 1)(x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)*-2(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*-2(-1 + 0)ln^{2}(x + 1)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*2ln(x + 1)(1 + 0)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(-x + 1)(x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*-(-1 + 0)ln(x + 1)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}(1 + 0)}{(-x + 1)(x + 1)^{2}ln(-x + 1)(x + 1)} - \frac{3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{ln(-x + 1)} - \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}(1 + 0)}{(x + 1)^{3}ln(-x + 1)(x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)ln^{3}(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*3ln^{2}(x + 1)(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)*-3(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{2}(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-2(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} - \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)ln^{2}(-x + 1)} - \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}ln^{2}(-x + 1)} - \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(x + 1)^{2}(-x + 1)(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-2(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)ln(-x + 1)} + \frac{(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}*-(-1 + 0)ln(x + 1)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}(1 + 0)}{(x + 1)^{2}(-x + 1)ln(-x + 1)(x + 1)} + \frac{2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)ln^{2}(x + 1)}{(x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(x + 1)} + \frac{(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)^{3}(x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)*-(-1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{ln^{2}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln^{2}(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*2ln(x + 1)(1 + 0)}{(x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)*-2(-1 + 0)}{(x + 1)^{3}ln^{3}(-x + 1)(-x + 1)} + \frac{(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}ln(-x + 1)} + \frac{(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)ln(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)(-x + 1)^{2}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)ln^{3}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln(x + 1)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(1 + 0)}{(-x + 1)^{2}(x + 1)(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)*-3(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{4}(-x + 1)(-x + 1)} + \frac{(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{ln^{3}(-x + 1)} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))ln^{3}(x + 1)}{(x + 1)^{3}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}*3ln^{2}(x + 1)(1 + 0)}{(x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)*-3(-1 + 0)}{(x + 1)^{3}ln^{4}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{3}(-x + 1)(-x + 1)} + \frac{3(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}ln(-x + 1)} + \frac{3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)ln(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)(x + 1)^{2}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(-x + 1)(x + 1)^{2}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)(-x + 1)} - \frac{6(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}}{ln(-x + 1)} - \frac{6((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))}{(x + 1)^{3}ln(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}*-(-1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})ln(x + 1)}{(x + 1)^{3}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)ln(x + 1)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}(1 + 0)}{(x + 1)^{3}ln(-x + 1)(x + 1)} + \frac{4(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)ln^{2}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))}{(-x + 1)(x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}*-2(-1 + 0)}{(-x + 1)(x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + \frac{3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)ln(-x + 1)} + \frac{3(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}ln(-x + 1)} + \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{2}(-x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}*-(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{6(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{ln(-x + 1)} + \frac{6((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)^{3}ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{3}ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)}{(x + 1)^{3}ln^{2}(-x + 1)(-x + 1)} - \frac{3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)ln(-x + 1)} - \frac{3(\frac{-(-1 + 0)}{(-x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}ln(-x + 1)} - \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{2}(-x + 1)ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)}{(x + 1)^{2}(-x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)ln(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}ln(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(-x + 1)^{2}(x + 1)ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)(-x + 1)} + \frac{2(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)ln^{2}(-x + 1)} + \frac{2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(-x + 1)^{2}(x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)}{(-x + 1)^{2}(x + 1)ln^{3}(-x + 1)(-x + 1)} + 2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1} + \frac{2((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)^{3}} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{3}} - 3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2} - \frac{3((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{3}} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{2log_{-x + 1}^{x + 1}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{3}} + \frac{4(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(\frac{-2(-1 + 0)}{(-x + 1)^{3}})(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)ln^{2}(-x + 1)} + \frac{4((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)}))log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}*-2(-1 + 0)}{(x + 1)(-x + 1)^{2}ln^{3}(-x + 1)(-x + 1)} + (\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3} + \frac{((x + 1)^{log_{-x + 1}^{x + 1}}(((\frac{(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))}))ln(x + 1) + \frac{(log_{-x + 1}^{x + 1})(1 + 0)}{(x + 1)})){\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(x + 1)^{3}} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}(\frac{3{\left(log_{-x + 1}^{x + 1}\right)}^{2}(\frac{(1 + 0)}{(x + 1)} - \frac{(-1 + 0)log_{-x + 1}^{x + 1}}{(-x + 1)})}{(ln(-x + 1))})}{(x + 1)^{3}}\\=&\frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{4}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{36(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{4}ln^{3}(-x + 1)} + \frac{35(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{4}ln^{3}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{36(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{4}ln^{4}(-x + 1)} + \frac{51(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} + \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)^{3}ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{25(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} + \frac{31(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{24(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{4}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{24(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{3}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{4}ln^{4}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{15(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{4}(-x + 1)} - \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{26(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{44(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{28(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} - \frac{13(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{4}(-x + 1)} + \frac{15(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{4}(-x + 1)} + \frac{44(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{56(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln^{4}(x + 1)}{(-x + 1)^{4}ln^{4}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{4}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln^{3}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{4}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{4}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{4}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{4}(-x + 1)} + \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln^{3}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{38(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{34(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{26(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} - \frac{39(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} - \frac{17(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{4}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{4}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{4}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{19(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{4}(-x + 1)} + \frac{36(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{20(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{4}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{15(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{4}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{4}ln^{4}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} - \frac{24(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} - \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{4}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{4}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{4}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{4}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{4}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{4}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} + \frac{13(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} - \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} + \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{4}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{4}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} - \frac{24(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} - \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} - \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{4}ln^{3}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(-x + 1)^{3}(x + 1)ln^{4}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(x + 1)^{4}ln^{3}(-x + 1)} - \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} - \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{4}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln^{3}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{4}(-x + 1)} - \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{3}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{4}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{2}(x + 1)}{(-x + 1)(x + 1)^{3}ln^{3}(-x + 1)} + \frac{5(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}ln^{2}(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{4}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{4}(x + 1)}{(x + 1)^{3}(-x + 1)ln^{4}(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln(x + 1)}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}ln^{4}(x + 1)}{(x + 1)^{4}ln^{4}(-x + 1)} + \frac{4(x + 1)^{log_{-x + 1}^{x + 1}}ln(x + 1)}{(x + 1)^{3}(-x + 1)ln^{3}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{4}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln(x + 1)}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}ln^{2}(x + 1)}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}ln(x + 1)}{(x + 1)^{4}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)(x + 1)^{3}ln(-x + 1)} + \frac{7(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{3}ln^{2}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}ln^{3}(x + 1)}{(x + 1)^{4}ln^{3}(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{3}ln(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{4}ln(-x + 1)} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{20(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{36(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{4}ln(-x + 1)} + \frac{16(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{3}(x + 1)ln(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} + \frac{17(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{3}(x + 1)ln^{2}(-x + 1)} + \frac{9(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)^{2}(x + 1)^{2}ln^{2}(-x + 1)} + \frac{14(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)(-x + 1)^{3}ln^{3}(-x + 1)} - \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} - \frac{16(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} + \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{4}ln^{2}(-x + 1)} + \frac{22(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{4}ln(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{12(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}(-x + 1)^{2}ln^{2}(-x + 1)} - \frac{21(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{3}(-x + 1)ln(-x + 1)} + \frac{18(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)(x + 1)^{3}ln^{2}(-x + 1)} + \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{2}(-x + 1)^{2}ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{2}(-x + 1)^{2}ln(-x + 1)} + \frac{14(x + 1)^{log_{-x + 1}^{x + 1}}}{(-x + 1)^{2}(x + 1)^{2}ln^{3}(-x + 1)} + \frac{8(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}(-x + 1)ln(-x + 1)} - \frac{3(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{2}(x + 1)^{2}ln(-x + 1)} + \frac{2(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(-x + 1)(x + 1)^{3}ln(-x + 1)} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(-x + 1)^{3}(x + 1)ln^{3}(-x + 1)} + \frac{30(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{3}(-x + 1)ln^{2}(-x + 1)} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}log_{-x + 1}^{x + 1}}{(x + 1)^{4}} + \frac{11(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{2}}{(x + 1)^{4}} - \frac{6(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{3}}{(x + 1)^{4}} + \frac{10(x + 1)^{log_{-x + 1}^{x + 1}}}{(x + 1)^{2}(-x + 1)^{2}ln^{3}(-x + 1)} + \frac{(x + 1)^{log_{-x + 1}^{x + 1}}{\left(log_{-x + 1}^{x + 1}\right)}^{4}}{(x + 1)^{4}}\\ \end{split}\end{equation} \]



你的问题在这里没有得到解决?请到 热门难题 里面看看吧!





  新增加学习笔记(安卓版)百度网盘快速下载应用程序,欢迎使用。
  新增加学习笔记(安卓版)本站下载应用程序,欢迎使用。

  新增线性代数行列式的计算,欢迎使用。

  数学计算和一元方程已经支持正割函数余割函数,欢迎使用。

  新增加贷款计算器模块(具体位置:数学运算 > 贷款计算器),欢迎使用。