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。\[ \begin{equation}\begin{split}【1/1】求函数{({x}^{x} - 1)}^{x} + 2 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( ({x}^{x} - 1)^{x} + 2\right)}{dx}\\=&(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})) + 0\\=&({x}^{x} - 1)^{x}ln({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( ({x}^{x} - 1)^{x}ln({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)}\right)}{dx}\\=&(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln({x}^{x} - 1) + \frac{({x}^{x} - 1)^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln(x) + \frac{{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x} + \frac{{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)}\\=&({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( ({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}}\right)}{dx}\\=&(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}({x}^{x} - 1) + \frac{({x}^{x} - 1)^{x}*2ln({x}^{x} - 1)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1) + \frac{{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)(x)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x) + \frac{({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)ln(x)}{({x}^{x} - 1)({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)(x)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}}){x}^{x}({x}^{x} - 1)^{x}ln(x) + \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)(x)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}}){x}^{x}({x}^{x} - 1)^{x} + \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{2{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x) - \frac{{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}*2ln(x)}{({x}^{x} - 1)^{2}(x)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x) - \frac{2{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} - \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x) + \frac{{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}*2ln(x)}{({x}^{x} - 1)(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1) + \frac{{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln(x) + \frac{2{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)(x)} + (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x) + \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}*2ln(x)}{({x}^{x} - 1)^{2}(x)} + 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x) + \frac{2*2x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})({x}^{x} - 1)^{x}{x}^{x} + \frac{(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}}{({x}^{x} - 1)} + \frac{({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1) + \frac{({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x} - \frac{{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{2}} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x} + \frac{{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)} + (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x} + \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{2}}\\=&({x}^{x} - 1)^{x}ln^{3}({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{5({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} + \frac{4{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{3{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{9{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{9{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{4{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} - \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{4{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{2({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{2({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)x} + \frac{3x({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} - \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( ({x}^{x} - 1)^{x}ln^{3}({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} - \frac{x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{5({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} + \frac{4{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{3{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{9{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{9{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{4{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} - \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{4{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{2({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{2({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)x} + \frac{3x({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{2x{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} - \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}}\right)}{dx}\\=&(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{3}({x}^{x} - 1) + \frac{({x}^{x} - 1)^{x}*3ln^{2}({x}^{x} - 1)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1) + \frac{{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)(x)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)*2ln({x}^{x} - 1)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1) - \frac{2{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}*2ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}(x)} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}({x}^{x} - 1)} + 3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}}){x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1) + \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)(x)} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + 3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x) + \frac{3(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{3({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{3({x}^{x} - 1)^{x}{x}^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)ln(x)}{({x}^{x} - 1)({x}^{x} - 1)} + \frac{3({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)(x)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1) + \frac{2{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}*2ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)(x)} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x) + \frac{2({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}*2ln({x}^{x} - 1)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)ln(x)}{({x}^{x} - 1)({x}^{x} - 1)} + \frac{2x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)(x)} + 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1) + \frac{2*2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}*2ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}(x)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}({x}^{x} - 1)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1) - \frac{3{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}(x)} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}({x}^{x} - 1)} + 3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}}){x}^{x}({x}^{x} - 1)^{x}ln^{2}(x) + \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{3{x}^{x}(({x}^{x} - 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1)^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + 3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x}ln(x) + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{3x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{3x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)(x)} + 9(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x) + \frac{9*2x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x) + \frac{6{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{6x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}(x)} + 2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})({x}^{x} - 1)^{x}{x}^{x} + \frac{2(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}}{({x}^{x} - 1)} + \frac{2({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} - 1)} - 9(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x) - \frac{9*2x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}(x)} + 3(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x) + \frac{3*3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1) - \frac{({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{x({x}^{x} - 1)^{x}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}({x}^{x} - 1)} + (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1) + \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}({x}^{x} - 1)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1) + \frac{({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x({x}^{x} - 1)^{x}{x}^{x}(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)({x}^{x} - 1)} + 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x{x}^{(2x)}({x}^{x} - 1)^{x} + \frac{3{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{3x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{3x{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{2}} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})({x}^{x} - 1)^{x}{x}^{x}}{x} + \frac{2*-({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)x^{2}} + \frac{2(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{x}}{({x}^{x} - 1)x} + \frac{2({x}^{x} - 1)^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} - 1)x} + 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x({x}^{x} - 1)^{x}{x}^{(2x)} + \frac{3({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{3x(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)})){x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{3x({x}^{x} - 1)^{x}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))}{({x}^{x} - 1)^{2}} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{2}})x{x}^{x}({x}^{x} - 1)^{x} + \frac{{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{x{x}^{x}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)} + 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{3}})x^{2}{x}^{(2x)}({x}^{x} - 1)^{x} + \frac{3*2x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{3x^{2}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{3x^{2}{x}^{(2x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{2}} + 2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x{x}^{(3x)}({x}^{x} - 1)^{x} + \frac{2{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{2x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{2x{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{3}} - 3(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x^{2}{x}^{(3x)}({x}^{x} - 1)^{x} - \frac{3*2x{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} - \frac{3x^{2}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} - \frac{3x^{2}{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{3}} + (\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)^{4}})x^{3}{x}^{(3x)}({x}^{x} - 1)^{x} + \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{x^{3}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{x^{3}{x}^{(3x)}(({x}^{x} - 1)^{x}((1)ln({x}^{x} - 1) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} - 1)}))}{({x}^{x} - 1)^{3}}\\=&({x}^{x} - 1)^{x}ln^{4}({x}^{x} - 1) + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{3}({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{8{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{8({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} - \frac{12x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{4{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln^{3}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{9x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{8{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{4x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{16x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{19{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{19{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{8x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} - \frac{4{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{4{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{4({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} + \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{4({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{2({x}^{x} - 1)^{x}{x}^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} + \frac{24x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{6x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{8x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{6x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{6x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} - \frac{24x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{8x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{11({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} - \frac{18x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{14x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} + \frac{11({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{18x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{2({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{4{x}^{x}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)} + \frac{12({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{4x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{6x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{2x{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} + \frac{2x{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{4x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{12x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{3x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} - \frac{2x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{2x({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{6x({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{12{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{46{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{18{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{4({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{13{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{39{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{11({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)}{({x}^{x} - 1)^{2}} - \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{2x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{4x{x}^{x}({x}^{x} - 1)^{x}ln(x)ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} - \frac{3x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)^{2}} - \frac{9x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{x^{3}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)^{3}} - \frac{11({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x^{3}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)^{2}} - \frac{13{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{9x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{6x({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} + \frac{3x^{3}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{3}} + \frac{9x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln^{3}(x)}{({x}^{x} - 1)} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln^{2}(x)}{({x}^{x} - 1)} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)ln(x)}{({x}^{x} - 1)} + \frac{3{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)x} - \frac{6x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{42x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{6{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} - \frac{2x({x}^{x} - 1)^{x}{x}^{(3x)}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{26x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} - \frac{12x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{6x({x}^{x} - 1)^{x}{x}^{(3x)}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{11({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{8{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{36{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{8{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}x} + \frac{48{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{54x{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} + \frac{24{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{74x{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} - \frac{7x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{2}} + \frac{2x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{7x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{2}} - \frac{6x{x}^{(4x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{4}} - \frac{24x{x}^{(4x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{4}} - \frac{62x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{6x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{3}} + \frac{11x^{2}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{4}} + \frac{44x^{2}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{4}} - \frac{72x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} + \frac{24x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{3}} + \frac{12x{x}^{(3x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{3}} - \frac{6x^{3}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{4}} - \frac{24x^{3}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{4}} + \frac{6x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{28x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{11({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{3}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{14{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{5({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)x} + \frac{x^{4}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{4}} + \frac{4x^{4}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)^{4}} - \frac{36x{x}^{(4x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{4}} + \frac{66x^{2}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{4}} + \frac{2x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{3}(x)}{({x}^{x} - 1)^{2}} + \frac{36x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{3}} - \frac{36x^{3}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{4}} - \frac{3x({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln^{3}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x{x}^{x}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)} + \frac{42x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{2}} + \frac{8x{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{6x^{4}{x}^{(4x)}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)^{4}} + \frac{6x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln(x)}{({x}^{x} - 1)^{3}} + \frac{7{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} - \frac{30x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{18x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln^{4}(x)}{({x}^{x} - 1)^{3}} + \frac{4x{x}^{x}({x}^{x} - 1)^{x}ln^{3}(x)}{({x}^{x} - 1)} + \frac{8{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)x} - \frac{6x({x}^{x} - 1)^{x}{x}^{(3x)}ln(x)}{({x}^{x} - 1)^{3}} + \frac{6x{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{9x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{6x({x}^{x} - 1)^{x}{x}^{(2x)}ln(x)}{({x}^{x} - 1)^{2}} - \frac{6{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} + \frac{16x({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x({x}^{x} - 1)^{x}{x}^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{6x{x}^{x}({x}^{x} - 1)^{x}ln^{2}(x)}{({x}^{x} - 1)} + \frac{9x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} - \frac{3x{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{3x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{3x{x}^{x}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{4x{x}^{x}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)} + \frac{3x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln^{2}({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{28x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{2}} + \frac{24x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{3}} - \frac{24x{x}^{(4x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{4}} + \frac{3({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)} + \frac{44x^{2}{x}^{(4x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{4}} - \frac{24x^{3}{x}^{(4x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{4}} + \frac{4x^{4}{x}^{(4x)}({x}^{x} - 1)^{x}ln(x)}{({x}^{x} - 1)^{4}} + \frac{2x({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} - \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{6({x}^{x} - 1)^{x}{x}^{(3x)}}{({x}^{x} - 1)^{3}} + \frac{3x^{2}({x}^{x} - 1)^{x}{x}^{(2x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{2}} + \frac{x({x}^{x} - 1)^{x}{x}^{x}ln({x}^{x} - 1)}{({x}^{x} - 1)} + \frac{x^{3}({x}^{x} - 1)^{x}{x}^{(3x)}ln({x}^{x} - 1)}{({x}^{x} - 1)^{3}} + \frac{5x^{2}({x}^{x} - 1)^{x}{x}^{(3x)}}{({x}^{x} - 1)^{3}} + \frac{11x({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}} + \frac{24x{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{9({x}^{x} - 1)^{x}{x}^{(2x)}}{({x}^{x} - 1)^{2}x} - \frac{19x{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} - \frac{2{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}x} - \frac{2({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)x^{2}} - \frac{11x({x}^{x} - 1)^{x}{x}^{(3x)}}{({x}^{x} - 1)^{3}} + \frac{x{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)} + \frac{2{x}^{x}({x}^{x} - 1)^{x}}{({x}^{x} - 1)x} + \frac{7x^{2}{x}^{(2x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{2}} - \frac{5x^{2}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{6x^{3}{x}^{(3x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{3}} + \frac{9({x}^{x} - 1)^{x}{x}^{x}}{({x}^{x} - 1)x} + \frac{11x^{2}{x}^{(4x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{4}} - \frac{6x^{3}{x}^{(4x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{4}} - \frac{6x{x}^{(4x)}({x}^{x} - 1)^{x}}{({x}^{x} - 1)^{4}} + \frac{x^{4}{x}^{(4x)}({x}^{x} - 1)^{x}}{({x}^{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!