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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{arctan(x)}{ln(1 + {x}^{x})} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{arctan(x)}{ln({x}^{x} + 1)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{arctan(x)}{ln({x}^{x} + 1)}\right)}{dx}\\=&\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{ln^{2}({x}^{x} + 1)({x}^{x} + 1)} + \frac{(\frac{(1)}{(1 + (x)^{2})})}{ln({x}^{x} + 1)}\\=&\frac{-{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{1}{(x^{2} + 1)ln({x}^{x} + 1)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{1}{(x^{2} + 1)ln({x}^{x} + 1)}\right)}{dx}\\=&\frac{-(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})}{ln({x}^{x} + 1)} + \frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)({x}^{x} + 1)}\\=&\frac{{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{4{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2x}{(x^{2} + 1)^{2}ln({x}^{x} + 1)} - \frac{{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{4{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2x}{(x^{2} + 1)^{2}ln({x}^{x} + 1)} - \frac{{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)}\right)}{dx}\\=&\frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{{x}^{(2x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{{x}^{(2x)}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{{x}^{(2x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln^{2}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*2ln(x)arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{xln^{2}({x}^{x} + 1)} - \frac{-{x}^{x}arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)xln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{2{x}^{(2x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{3}({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln^{2}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{2{x}^{(2x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{4(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{4({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{4{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{3}({x}^{x} + 1)} + \frac{4{x}^{(2x)}ln(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{4{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{{x}^{(2x)}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{2{x}^{(2x)}*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{2{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x}{ln({x}^{x} + 1)} - \frac{2}{(x^{2} + 1)^{2}ln({x}^{x} + 1)} - \frac{2x*-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)}\\=&\frac{-2{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{3}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{2{x}^{x}ln^{2}(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{4{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{2x{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{4x{x}^{x}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)xln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{8x^{2}}{(x^{2} + 1)^{3}ln({x}^{x} + 1)} - \frac{2}{(x^{2} + 1)^{2}ln({x}^{x} + 1)} + \frac{4x{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2x{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-2{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{3}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{2{x}^{x}ln^{2}(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{4{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{2x{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{4x{x}^{x}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)xln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{8x^{2}}{(x^{2} + 1)^{3}ln({x}^{x} + 1)} - \frac{2}{(x^{2} + 1)^{2}ln({x}^{x} + 1)} + \frac{4x{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2x{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)}\right)}{dx}\\=&\frac{-2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{3}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(3x)}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(3x)}ln^{3}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2{x}^{(3x)}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{2}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{3}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{3}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{9(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{9({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{xln^{2}({x}^{x} + 1)} + \frac{3*-{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x(x)ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{3}(x)arctan(x)}{ln^{3}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{2}(x)arctan(x)}{ln^{3}({x}^{x} + 1)} - \frac{18({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}*2ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)(x)ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{9(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{9({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{9{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{xln^{2}({x}^{x} + 1)} + \frac{3*-{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{3{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln(x)arctan(x)}{ln^{3}({x}^{x} + 1)} - \frac{18({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{3}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)(x)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln^{3}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{3}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln^{2}(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}*2ln(x)arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{3{x}^{x}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)arctan(x)}{xln^{2}({x}^{x} + 1)} - \frac{3*-{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}arctan(x)}{({x}^{x} + 1)x(x)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)xln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{3}(x)arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{3}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{18(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln^{2}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln^{2}(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln^{2}(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}*2ln(x)}{({x}^{x} + 1)(x^{2} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}arctan(x)}{({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{3{x}^{x}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{3(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{xln^{2}({x}^{x} + 1)} - \frac{3*-{x}^{x}arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{3{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)xln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{3{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{18(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}(x)ln^{3}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{4(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{4(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{4{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{4{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{x^{2}ln^{2}({x}^{x} + 1)} + \frac{-2{x}^{x}arctan(x)}{({x}^{x} + 1)x^{3}ln^{2}({x}^{x} + 1)} + \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} + \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)x^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)arctan(x)}{xln^{3}({x}^{x} + 1)} + \frac{6*-{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x(x)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}xln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{xln^{3}({x}^{x} + 1)} + \frac{6*-{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}xln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{6{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{3}(x)arctan(x)}{ln^{4}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{6{x}^{(3x)}*3ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{4}({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)*-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{5}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}ln^{3}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln^{2}(x)arctan(x)}{ln^{4}({x}^{x} + 1)} - \frac{18({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}*2ln(x)arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)*-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{5}({x}^{x} + 1)({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln^{2}(x)}{(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}*2ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)(x)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln^{2}(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}})x{x}^{x}ln(x)}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2x{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}(x)ln^{2}({x}^{x} + 1)} + \frac{2x{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}ln(x)arctan(x)}{ln^{4}({x}^{x} + 1)} - \frac{18({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}(x)ln^{4}({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)*-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{5}({x}^{x} + 1)({x}^{x} + 1)} - \frac{18{x}^{(3x)}ln(x)(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{12(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}ln(x)}{(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{12(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{12{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)(x)ln^{3}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln(x)*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{4(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}})x{x}^{x}ln(x)}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{4{x}^{x}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4x{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} + \frac{4x{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln^{2}(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln^{2}(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*2ln(x)}{(x^{2} + 1)({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}ln^{2}(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(3x)}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2{x}^{(3x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{3{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}arctan(x)}{ln^{3}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{6{x}^{(3x)}*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}arctan(x)}{ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{{x}^{x}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}arctan(x)}{ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{2}ln^{4}({x}^{x} + 1)({x}^{x} + 1)} + \frac{6{x}^{(2x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{4}}){x}^{(3x)}arctan(x)}{ln^{4}({x}^{x} + 1)} - \frac{6({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{6{x}^{(3x)}*-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)arctan(x)}{({x}^{x} + 1)^{3}ln^{5}({x}^{x} + 1)({x}^{x} + 1)} - \frac{6{x}^{(3x)}(\frac{(1)}{(1 + (x)^{2})})}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}ln(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}ln(x)}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)(x)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln(x)*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)xln^{2}({x}^{x} + 1)} - \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{2*-{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} + 1)(x^{2} + 1)xln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)xln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{3{x}^{(2x)}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{3}}){x}^{(2x)}}{(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{(2x)}}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}*-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{4}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)xln^{2}({x}^{x} + 1)} - \frac{-{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{2} + 1)({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)xln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{8(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x^{2}}{ln({x}^{x} + 1)} + \frac{8*2x}{(x^{2} + 1)^{3}ln({x}^{x} + 1)} + \frac{8x^{2}*-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)^{3}ln^{2}({x}^{x} + 1)({x}^{x} + 1)} - \frac{2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})}{ln({x}^{x} + 1)} - \frac{2*-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)({x}^{x} + 1)} + \frac{4(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}})x{x}^{x}}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{4{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{4x{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}})x{x}^{x}}{(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{2x{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{3}({x}^{x} + 1)({x}^{x} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){x}^{x}}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{({x}^{x} + 1)^{2}}){x}^{x}}{(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{{x}^{x}*-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + 0)}{(x^{2} + 1)({x}^{x} + 1)ln^{3}({x}^{x} + 1)({x}^{x} + 1)}\\=&\frac{6{x}^{(4x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{2}({x}^{x} + 1)} + \frac{24{x}^{(4x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{2}({x}^{x} + 1)} - \frac{12{x}^{(3x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{48{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{12{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{2}({x}^{x} + 1)} + \frac{22{x}^{(4x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{3}({x}^{x} + 1)} + \frac{88{x}^{(4x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{3}({x}^{x} + 1)} - \frac{8{x}^{(3x)}ln^{3}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{36{x}^{(4x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{2}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{24{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{2}({x}^{x} + 1)} + \frac{132{x}^{(4x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{3}({x}^{x} + 1)} - \frac{24{x}^{(3x)}ln^{2}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{7{x}^{(2x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{28{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{18{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{144{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln^{3}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{42{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{36{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} - \frac{216{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{36{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{4{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{3}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{3}({x}^{x} + 1)} + \frac{36{x}^{(4x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{4}({x}^{x} + 1)} + \frac{144{x}^{(4x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{4}({x}^{x} + 1)} - \frac{24{x}^{(3x)}ln^{3}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{3}({x}^{x} + 1)} - \frac{36{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{4}({x}^{x} + 1)} + \frac{216{x}^{(4x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{4}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln^{2}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{88{x}^{(4x)}ln(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{3}({x}^{x} + 1)} - \frac{12x{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}xln^{4}({x}^{x} + 1)} + \frac{24{x}^{(4x)}ln(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{2}({x}^{x} + 1)} + \frac{24{x}^{(4x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{5}({x}^{x} + 1)} - \frac{48{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{12{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}xln^{2}({x}^{x} + 1)} - \frac{144{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} - \frac{24{x}^{(3x)}ln(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{28{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{18{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} + \frac{144{x}^{(4x)}ln(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{4}({x}^{x} + 1)} + \frac{96{x}^{(4x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{5}({x}^{x} + 1)} + \frac{36{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}xln^{3}({x}^{x} + 1)} + \frac{36{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{144{x}^{(3x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{14{x}^{(2x)}ln^{4}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{56{x}^{(2x)}ln^{3}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{84{x}^{(2x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{24x{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{216{x}^{(3x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)xln^{3}({x}^{x} + 1)} + \frac{144{x}^{(4x)}ln^{2}(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{5}({x}^{x} + 1)} - \frac{{x}^{x}ln^{4}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{4{x}^{x}ln^{3}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln^{3}(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}ln^{2}(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{12{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{144{x}^{(3x)}ln(x)arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} - \frac{6{x}^{x}ln^{2}(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{4{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} + \frac{72{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} + \frac{4x{x}^{x}ln^{2}(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{56{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{24{x}^{(2x)}ln^{3}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} - \frac{8{x}^{(2x)}ln(x)arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{3}({x}^{x} + 1)} + \frac{72{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{8x{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)xln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}ln^{3}(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{4{x}^{x}ln(x)arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}arctan(x)}{({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{96{x}^{(4x)}ln(x)arctan(x)}{({x}^{x} + 1)^{4}ln^{5}({x}^{x} + 1)} - \frac{6{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{36{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{6{x}^{x}ln^{2}(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)xln^{2}({x}^{x} + 1)} + \frac{72{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)xln^{2}({x}^{x} + 1)} - \frac{{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}arctan(x)}{({x}^{x} + 1)x^{3}ln^{2}({x}^{x} + 1)} + \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{2{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}x^{2}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{(2x)}ln(x)}{(x^{2} + 1)({x}^{x} + 1)^{2}xln^{2}({x}^{x} + 1)} + \frac{12{x}^{(2x)}ln(x)}{(x^{2} + 1)({x}^{x} + 1)^{2}xln^{3}({x}^{x} + 1)} - \frac{36{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}xln^{4}({x}^{x} + 1)} - \frac{16x{x}^{(2x)}ln^{2}(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{8x{x}^{x}ln^{2}(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{24{x}^{(3x)}ln^{3}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{4}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln^{2}(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{4}({x}^{x} + 1)} - \frac{8x^{2}{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{8x{x}^{(2x)}ln^{2}(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{16x{x}^{x}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{2{x}^{x}ln(x)}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{32x{x}^{(2x)}ln(x)}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{6{x}^{x}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{24x^{2}{x}^{x}ln(x)}{(x^{2} + 1)^{3}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{72{x}^{(3x)}ln(x)}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{4}({x}^{x} + 1)} - \frac{16x{x}^{(2x)}ln(x)}{(x^{2} + 1)^{2}({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} + \frac{12{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)xln^{2}({x}^{x} + 1)} - \frac{6{x}^{x}ln(x)}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{6{x}^{(4x)}arctan(x)}{({x}^{x} + 1)^{4}ln^{2}({x}^{x} + 1)} - \frac{12{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{2}({x}^{x} + 1)} + \frac{22{x}^{(4x)}arctan(x)}{({x}^{x} + 1)^{4}ln^{3}({x}^{x} + 1)} - \frac{8{x}^{(3x)}}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{7{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{3}({x}^{x} + 1)} + \frac{12{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{12{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{36{x}^{(4x)}arctan(x)}{({x}^{x} + 1)^{4}ln^{4}({x}^{x} + 1)} - \frac{24{x}^{(3x)}}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{3}({x}^{x} + 1)} - \frac{{x}^{x}arctan(x)}{({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{14{x}^{(2x)}arctan(x)}{({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)ln^{2}({x}^{x} + 1)} + \frac{8{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{36{x}^{(3x)}arctan(x)}{({x}^{x} + 1)^{3}ln^{4}({x}^{x} + 1)} + \frac{24{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)ln^{3}({x}^{x} + 1)} + \frac{24{x}^{(4x)}arctan(x)}{({x}^{x} + 1)^{4}ln^{5}({x}^{x} + 1)} - \frac{24{x}^{(3x)}}{({x}^{x} + 1)^{3}(x^{2} + 1)ln^{4}({x}^{x} + 1)} + \frac{24{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)xln^{3}({x}^{x} + 1)} - \frac{4{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)xln^{2}({x}^{x} + 1)} + \frac{2{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{8{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)xln^{2}({x}^{x} + 1)} + \frac{2{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)x^{2}ln^{2}({x}^{x} + 1)} - \frac{12x{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} + \frac{4x{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{2}ln^{2}({x}^{x} + 1)} - \frac{16x{x}^{(2x)}}{({x}^{x} + 1)^{2}(x^{2} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{48x^{3}}{(x^{2} + 1)^{4}ln({x}^{x} + 1)} + \frac{24x}{(x^{2} + 1)^{3}ln({x}^{x} + 1)} - \frac{24x^{2}{x}^{x}}{(x^{2} + 1)^{3}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} + \frac{8x{x}^{x}}{(x^{2} + 1)^{2}({x}^{x} + 1)ln^{2}({x}^{x} + 1)} - \frac{8x{x}^{(2x)}}{(x^{2} + 1)^{2}({x}^{x} + 1)^{2}ln^{3}({x}^{x} + 1)} - \frac{8x^{2}{x}^{x}}{({x}^{x} + 1)(x^{2} + 1)^{3}ln^{2}({x}^{x} + 1)} - \frac{2{x}^{x}}{(x^{2} + 1)({x}^{x} + 1)ln^{2}({x}^{x} + 1)}\\ \end{split}\end{equation} \]

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