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。
\[ \begin{equation}\begin{split}【1/1】求函数{cot(xe^{x})}^{ln(x)} + {4}^{arctan(x)} + {1}^{arctan(x)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {cot(xe^{x})}^{ln(x)} + {4}^{arctan(x)} + {1}^{arctan(x)}\right)}{dx}\\=&({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))})) + ({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)})) + ({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))\\=&\frac{{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} + \frac{{4}^{arctan(x)}ln(4)}{(x^{2} + 1)} + \frac{{1}^{arctan(x)}ln(1)}{(x^{2} + 1)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} + \frac{{4}^{arctan(x)}ln(4)}{(x^{2} + 1)} + \frac{{1}^{arctan(x)}ln(1)}{(x^{2} + 1)}\right)}{dx}\\=&\frac{-{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{2}} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln(cot(xe^{x}))}{x} + \frac{{cot(xe^{x})}^{ln(x)}*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x(cot(xe^{x}))} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} + (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){4}^{arctan(x)}ln(4) + \frac{({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln(4)}{(x^{2} + 1)} + \frac{{4}^{arctan(x)}*0}{(x^{2} + 1)(4)} + (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){1}^{arctan(x)}ln(1) + \frac{({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln(1)}{(x^{2} + 1)} + \frac{{1}^{arctan(x)}*0}{(x^{2} + 1)(1)}\\=&\frac{-{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{2}} + \frac{{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{2}} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - \frac{2x{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{2}} + \frac{{4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{2}} - \frac{2x{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{2}} + \frac{{1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{2}} + \frac{{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{2}} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - \frac{2x{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{2}} + \frac{{4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{2}} - \frac{2x{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{2}} + \frac{{1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{2}}\right)}{dx}\\=&\frac{--2{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{3}} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln(cot(xe^{x}))}{x^{2}} - \frac{{cot(xe^{x})}^{ln(x)}*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x^{2}(cot(xe^{x}))} + \frac{-2{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{3}} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln^{2}(cot(xe^{x}))}{x^{2}} + \frac{{cot(xe^{x})}^{ln(x)}*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x^{2}(cot(xe^{x}))} - \frac{-{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{2*-{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{-{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + 2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 4x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 4x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + 2*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 2x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 2x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{2x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 2x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{4}^{arctan(x)}ln(4) - \frac{2 * {4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{2}} - \frac{2x({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln(4)}{(x^{2} + 1)^{2}} - \frac{2x{4}^{arctan(x)}*0}{(x^{2} + 1)^{2}(4)} + (\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){4}^{arctan(x)}ln^{2}(4) + \frac{({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln^{2}(4)}{(x^{2} + 1)^{2}} + \frac{{4}^{arctan(x)}*2ln(4)*0}{(x^{2} + 1)^{2}(4)} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{1}^{arctan(x)}ln(1) - \frac{2 * {1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{2}} - \frac{2x({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln(1)}{(x^{2} + 1)^{2}} - \frac{2x{1}^{arctan(x)}*0}{(x^{2} + 1)^{2}(1)} + (\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){1}^{arctan(x)}ln^{2}(1) + \frac{({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln^{2}(1)}{(x^{2} + 1)^{2}} + \frac{{1}^{arctan(x)}*2ln(1)*0}{(x^{2} + 1)^{2}(1)}\\=&\frac{2{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{3}} - \frac{3{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{3}} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}ln^{3}(cot(xe^{x}))}{x^{3}} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} + 8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{x} + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 6x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 18x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - 4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - 12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - 4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{8x^{2}{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{3}} - \frac{2 * {4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{2}} - \frac{6x{4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{3}} - \frac{6x{1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{3}} + \frac{{4}^{arctan(x)}ln^{3}(4)}{(x^{2} + 1)^{3}} + \frac{8x^{2}{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{3}} - \frac{2 * {1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{2}} + \frac{{1}^{arctan(x)}ln^{3}(1)}{(x^{2} + 1)^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{2{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{3}} - \frac{3{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{3}} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}ln^{3}(cot(xe^{x}))}{x^{3}} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} + 8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{x} + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 6x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 18x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - 4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - 12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - 4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{8x^{2}{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{3}} - \frac{2 * {4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{2}} - \frac{6x{4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{3}} - \frac{6x{1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{3}} + \frac{{4}^{arctan(x)}ln^{3}(4)}{(x^{2} + 1)^{3}} + \frac{8x^{2}{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{3}} - \frac{2 * {1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{2}} + \frac{{1}^{arctan(x)}ln^{3}(1)}{(x^{2} + 1)^{3}}\right)}{dx}\\=&\frac{2*-3{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{4}} + \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln(cot(xe^{x}))}{x^{3}} + \frac{2{cot(xe^{x})}^{ln(x)}*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x^{3}(cot(xe^{x}))} - \frac{3*-3{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{4}} - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln^{2}(cot(xe^{x}))}{x^{3}} - \frac{3{cot(xe^{x})}^{ln(x)}*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x^{3}(cot(xe^{x}))} + \frac{2*-2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}(x)cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}(cot(xe^{x}))cot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} + \frac{3*-2{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} - \frac{3*-{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} + \frac{-3{cot(xe^{x})}^{ln(x)}ln^{3}(cot(xe^{x}))}{x^{4}} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))ln^{3}(cot(xe^{x}))}{x^{3}} + \frac{{cot(xe^{x})}^{ln(x)}*3ln^{2}(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})}{x^{3}(cot(xe^{x}))} - \frac{-2{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} - \frac{-{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} - \frac{6*-2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}(cot(xe^{x}))cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} - \frac{6*-{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} - \frac{2*-2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x^{2}(cot(xe^{x}))cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}(x)cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} + \frac{2*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{x(x)cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{x(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} + \frac{4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{6*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{x(x)cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} + \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{2*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{4}(xe^{x})}{x(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{x(x)cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} - \frac{4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{4*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}} + \frac{4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} + \frac{4{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x(cot(xe^{x}))} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x} + 8({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + 8{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{(cot(xe^{x}))} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)} + 8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - \frac{2*-{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}*2ln(cot(xe^{x}))*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{(cot(xe^{x}))cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + 4x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + 4x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{(cot(xe^{x}))} + \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)} + 4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - \frac{3*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} - \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{6*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{x^{2}} + \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{2}(xe^{x})}{x} + \frac{6{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{2}(xe^{x})}{x} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x} + 12({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{2}(xe^{x}) + 12{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{2}(xe^{x}) + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + 6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) + 6x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}csc^{2}(xe^{x}) + 6x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}csc^{2}(xe^{x}) + 6x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{-2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x^{2}(cot(xe^{x}))cot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}(x)cot(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x^{2}cot(xe^{x})} - \frac{3*-{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{x(cot(xe^{x}))cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot(xe^{x})} - \frac{-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{x(x)cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{x(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{2*-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}} + \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} + \frac{2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x(x)} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{x(cot(xe^{x}))} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{x} + 4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + 4{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{(cot(xe^{x}))} + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{-{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln^{2}(x)csc^{4}(xe^{x})}{x(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))*2ln(x)csc^{4}(xe^{x})}{x(x)cot^{2}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{xcot^{2}(xe^{x})} - \frac{({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*3ln^{2}(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*3ln^{2}(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + \frac{9{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} - \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{4}(xe^{x})}{(x)cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{18{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{4}(xe^{x})}{(x)cot(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} + \frac{6({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln^{2}(x)csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{3*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*3ln^{2}(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{6x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + \frac{9*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} + \frac{9x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} - \frac{18*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{4}(xe^{x})}{(x)cot(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{18x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} + \frac{9{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{9x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{3({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + 12({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 12{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + 18{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 18x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 18x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{18x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 18x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{(x)cot(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} + \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{(x)cot(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{6*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + \frac{12*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{(x)cot(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - 4({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 4{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x})}{(x)} - 4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x}) - 4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - 12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x})}{(x)} - 12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x}) - 12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{3*3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} + \frac{3x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} - \frac{2({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln(x)csc^{2}(xe^{x})}{(cot(xe^{x}))cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} + 2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + 2x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + 2x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{(x)} + \frac{2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{(cot(xe^{x}))} + 2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*-csc^{2}(xe^{x})(e^{x} + xe^{x})ln^{2}(x)csc^{4}(xe^{x})}{(cot(xe^{x}))cot^{2}(xe^{x})} + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*3ln^{2}(x)csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + \frac{3*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{3x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}*2ln(x)csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} + \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{3*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{(x)cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*2csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{2}(xe^{x})} - \frac{6*3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}*2ln(x)csc^{4}(xe^{x})}{(x)cot(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{(x)cot(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - \frac{2*3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{(x)cot^{3}(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*3csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{6}(xe^{x})}{cot^{4}(xe^{x})} - \frac{2x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-6csc^{6}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot^{3}(xe^{x})} + 6*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 6x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 6x^{2}{cot(xe^{x})}^{ln(x)}*2e^{x}e^{x}ln(x)csc^{2}(xe^{x}) + \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{(x)} + 6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) - 12*2x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x^{2}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 12x^{2}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - \frac{12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x})}{(x)} - 12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x}) - 12x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + \frac{4*3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{4x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{(x)cot(xe^{x})} + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-4csc^{4}(xe^{x})cot(xe^{x})(e^{x} + xe^{x})}{cot(xe^{x})} - 4*3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 4x^{3}({cot(xe^{x})}^{ln(x)}((\frac{1}{(x)})ln(cot(xe^{x})) + \frac{(ln(x))(-csc^{2}(xe^{x})(e^{x} + xe^{x}))}{(cot(xe^{x}))}))e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 4x^{3}{cot(xe^{x})}^{ln(x)}*3e^{{x}*{2}}e^{x}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x})}{(x)} - 4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)*-csc^{2}(xe^{x})(e^{x} + xe^{x})csc^{2}(xe^{x}) - 4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})*-2csc^{2}(xe^{x})cot(xe^{x})(e^{x} + xe^{x}) + 8(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x^{2}{4}^{arctan(x)}ln(4) + \frac{8*2x{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{3}} + \frac{8x^{2}({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln(4)}{(x^{2} + 1)^{3}} + \frac{8x^{2}{4}^{arctan(x)}*0}{(x^{2} + 1)^{3}(4)} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){4}^{arctan(x)}ln(4) - \frac{2({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln(4)}{(x^{2} + 1)^{2}} - \frac{2 * {4}^{arctan(x)}*0}{(x^{2} + 1)^{2}(4)} - 6(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x{4}^{arctan(x)}ln^{2}(4) - \frac{6 * {4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{3}} - \frac{6x({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln^{2}(4)}{(x^{2} + 1)^{3}} - \frac{6x{4}^{arctan(x)}*2ln(4)*0}{(x^{2} + 1)^{3}(4)} - 6(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x{1}^{arctan(x)}ln^{2}(1) - \frac{6 * {1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{3}} - \frac{6x({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln^{2}(1)}{(x^{2} + 1)^{3}} - \frac{6x{1}^{arctan(x)}*2ln(1)*0}{(x^{2} + 1)^{3}(1)} + (\frac{-3(2x + 0)}{(x^{2} + 1)^{4}}){4}^{arctan(x)}ln^{3}(4) + \frac{({4}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(4) + \frac{(arctan(x))(0)}{(4)}))ln^{3}(4)}{(x^{2} + 1)^{3}} + \frac{{4}^{arctan(x)}*3ln^{2}(4)*0}{(x^{2} + 1)^{3}(4)} + 8(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x^{2}{1}^{arctan(x)}ln(1) + \frac{8*2x{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{3}} + \frac{8x^{2}({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln(1)}{(x^{2} + 1)^{3}} + \frac{8x^{2}{1}^{arctan(x)}*0}{(x^{2} + 1)^{3}(1)} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){1}^{arctan(x)}ln(1) - \frac{2({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln(1)}{(x^{2} + 1)^{2}} - \frac{2 * {1}^{arctan(x)}*0}{(x^{2} + 1)^{2}(1)} + (\frac{-3(2x + 0)}{(x^{2} + 1)^{4}}){1}^{arctan(x)}ln^{3}(1) + \frac{({1}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(1) + \frac{(arctan(x))(0)}{(1)}))ln^{3}(1)}{(x^{2} + 1)^{3}} + \frac{{1}^{arctan(x)}*3ln^{2}(1)*0}{(x^{2} + 1)^{3}(1)}\\=&\frac{-6{cot(xe^{x})}^{ln(x)}ln(cot(xe^{x}))}{x^{4}} + \frac{11{cot(xe^{x})}^{ln(x)}ln^{2}(cot(xe^{x}))}{x^{4}} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}ln^{3}(cot(xe^{x}))}{x^{4}} + \frac{5{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{7{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{5{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} + \frac{18{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{x^{2}} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x})}{x} + \frac{36{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{18{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 60{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) + \frac{{cot(xe^{x})}^{ln(x)}ln^{4}(cot(xe^{x}))}{x^{4}} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{3}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{3}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln^{3}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln^{3}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) + \frac{14{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{20{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}} + \frac{48{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} + \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))csc^{2}(xe^{x})}{xcot(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + 24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))csc^{2}(xe^{x}) - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x})}{x} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{9{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{7{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{21{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{14{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot(xe^{x})} - \frac{42{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - \frac{9x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{54x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{21x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{42x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{48{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{48{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{xcot(xe^{x})} - \frac{96{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{5{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{15{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{15x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{10{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{xcot(xe^{x})} - \frac{30{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{2{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{30x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} + 40{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{8x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{5{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + \frac{7x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln^{2}(cot(xe^{x}))csc^{2}(xe^{x}) + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{60x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{4x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{14x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{7x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{x}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + 16x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x}) - \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{44x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{24x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{48x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{5x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{8x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{10x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} - \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{xcot(xe^{x})} + \frac{48{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{48x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x})}{x} - \frac{8x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - 48{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x}) - \frac{12x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{x}csc^{2}(xe^{x})}{cot(xe^{x})} - 48x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x}) + 24x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}csc^{2}(xe^{x}) + \frac{16x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}csc^{4}(xe^{x})}{cot(xe^{x})} - 16x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}cot(xe^{x})csc^{2}(xe^{x}) - \frac{2{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{3}cot(xe^{x})} + \frac{4{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x^{2}} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x})}{x} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln^{2}(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{x^{2}cot(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{xcot(xe^{x})} + 20{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) - \frac{4x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{xcot(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)cot(xe^{x})csc^{2}(xe^{x})}{x} - 24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)cot(xe^{x})csc^{2}(xe^{x}) - \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{x^{2}cot^{2}(xe^{x})} + \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{xcot^{2}(xe^{x})} - 8x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))cot(xe^{x})csc^{2}(xe^{x}) - \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{3}(x)csc^{6}(xe^{x})}{xcot^{3}(xe^{x})} + \frac{{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{4}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{4x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{4}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{11{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{28{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + \frac{48x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{12{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{6x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{4}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{112x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{36x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{72x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{24x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{66x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{168x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{6{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{16{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + 28{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{4}(xe^{x}) + 112x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{4}(xe^{x}) - \frac{72{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + 168x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{4}(xe^{x}) - \frac{30x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{24{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{180x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{14{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - 24{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))cot(xe^{x})csc^{2}(xe^{x}) - 24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))cot(xe^{x})csc^{2}(xe^{x}) - \frac{3x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{4x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{4}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{64x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{36x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{24x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{48x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + \frac{96x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + \frac{44x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{112x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + 112x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{4}(xe^{x}) - \frac{24x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{24x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{144x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} + \frac{28x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{4{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} + 48{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + 56x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) - 12{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{4}(xe^{x}) - 48{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 48x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{4}(xe^{x}) + \frac{64x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - 120x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 72x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{4}(xe^{x}) + \frac{11x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - 48x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{4}(xe^{x}) + 8{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)cot^{2}(xe^{x})csc^{2}(xe^{x}) + 32x{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)cot^{2}(xe^{x})csc^{2}(xe^{x}) + 48x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)cot^{2}(xe^{x})csc^{2}(xe^{x}) - \frac{6x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + \frac{18x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{28x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - \frac{3{cot(xe^{x})}^{ln(x)}e^{x}ln(cot(xe^{x}))ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - 24x{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)cot(xe^{x})csc^{2}(xe^{x}) + 8x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)ln(cot(xe^{x}))csc^{2}(xe^{x}) - \frac{8{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)ln(cot(xe^{x}))cot(xe^{x})csc^{2}(xe^{x})}{x} + \frac{8x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} - 8x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln(x)cot(xe^{x})csc^{2}(xe^{x}) + \frac{5x{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(cot(xe^{x}))ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(cot(xe^{x}))ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{4}(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} - \frac{6x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} + \frac{12x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{3}(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} + \frac{7x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln^{2}(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} - \frac{12x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{6}(xe^{x})}{cot^{3}(xe^{x})} - \frac{36x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln^{2}(x)csc^{4}(xe^{x})}{cot(xe^{x})} - \frac{7x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{4}(xe^{x})}{cot^{2}(xe^{x})} + \frac{24x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)csc^{4}(xe^{x})}{cot(xe^{x})} + 28x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln^{2}(x)csc^{4}(xe^{x}) - \frac{x{cot(xe^{x})}^{ln(x)}e^{x}ln(x)csc^{2}(xe^{x})}{cot(xe^{x})} - \frac{6x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{8}(xe^{x})}{cot^{4}(xe^{x})} + 14x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{2}}ln(x)csc^{2}(xe^{x}) + \frac{16x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{6}(xe^{x})}{cot^{2}(xe^{x})} - 96x^{2}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) - 24x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{3}}ln(x)cot(xe^{x})csc^{2}(xe^{x}) + 32x^{3}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)cot^{2}(xe^{x})csc^{2}(xe^{x}) - 12x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)csc^{4}(xe^{x}) + 8x^{4}{cot(xe^{x})}^{ln(x)}e^{{x}*{4}}ln(x)cot^{2}(xe^{x})csc^{2}(xe^{x}) - \frac{48x^{3}{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{4}} + \frac{24x{4}^{arctan(x)}ln(4)}{(x^{2} + 1)^{3}} + \frac{44x^{2}{4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{4}} - \frac{8 * {4}^{arctan(x)}ln^{2}(4)}{(x^{2} + 1)^{3}} - \frac{12x{4}^{arctan(x)}ln^{3}(4)}{(x^{2} + 1)^{4}} + \frac{44x^{2}{1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{4}} - \frac{8 * {1}^{arctan(x)}ln^{2}(1)}{(x^{2} + 1)^{3}} - \frac{12x{1}^{arctan(x)}ln^{3}(1)}{(x^{2} + 1)^{4}} + \frac{24x{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{3}} + \frac{{4}^{arctan(x)}ln^{4}(4)}{(x^{2} + 1)^{4}} - \frac{48x^{3}{1}^{arctan(x)}ln(1)}{(x^{2} + 1)^{4}} + \frac{{1}^{arctan(x)}ln^{4}(1)}{(x^{2} + 1)^{4}}\\ \end{split}\end{equation} \]

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