本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{x}^{{x}^{e^{x}}} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {x}^{{x}^{e^{x}}}\right)}{dx}\\=&({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))\\=&{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x}\right)}{dx}\\=&({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + {x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x) + {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{(x)} + \frac{-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x(x)} + \frac{-{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x}\\=&{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} + {x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + {x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln^{2}(x) + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} + {x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + {x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln^{2}(x) + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{2}}\right)}{dx}\\=&({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + {x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x) + {x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{(x)} + \frac{2*-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} + \frac{2{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x(x)} + ({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) + {x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{4}(x) + {x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{4}(x) + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*4ln^{3}(x)}{(x)} + \frac{2*-{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{2({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + \frac{2{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{x(x)} + \frac{2*-{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{2({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + \frac{2{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{x(x)} + ({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}ln^{2}(x) + {x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}ln^{2}(x) + {x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln^{2}(x) + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}*2ln(x)}{(x)} + \frac{3*-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x(x)} - \frac{-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} - \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{2}} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} - \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}(x)} + \frac{-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln(x)}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln(x)}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}(x)} + \frac{-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x^{2}(x)} + \frac{2*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{2({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{2}} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}(x)} + \frac{-{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} + \frac{({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}ln(x)}{x} + \frac{{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}ln(x)}{x} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x(x)} + \frac{-2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}}{x^{2}} + \frac{{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}}{x^{2}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}}{x^{2}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} - \frac{-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{3}} - \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x^{2}} + \frac{-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{3}} + \frac{({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x^{2}}\\=&{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x) + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x} + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x) + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x} + \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + 3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{24{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + {x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{6}(x) + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x} + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{5{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} - \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{6{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{2}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{3}} + \frac{4{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{4{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{2}}}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{3}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}}{x^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x) + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x} + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x) + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x} + \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + 3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{24{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + {x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{6}(x) + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x} + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{5{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} - \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{6{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{2}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{3}} + \frac{4{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{4{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{2}}}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{3}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}}{x^{3}}\right)}{dx}\\=&({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x) + {x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{4}(x) + {x}^{e^{x}}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{4}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*4ln^{3}(x)}{(x)} + \frac{3*-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x} + \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{3}(x)}{x} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{3}(x)}{x} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*3ln^{2}(x)}{x(x)} + 3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x) + 3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{5}(x) + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{5}(x) + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*5ln^{4}(x)}{(x)} + \frac{9*-{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x} + \frac{9{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{4}(x)}{x} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{4}(x)}{x} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*4ln^{3}(x)}{x(x)} + \frac{18*-{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{18({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + \frac{18{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x)}{x} + \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x)}{x} + \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{x(x)} + 3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + 3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x) + 3{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x) + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{(x)} + \frac{12*-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{12({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} + \frac{12{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x(x)} - \frac{3*-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} - \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x^{2}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x^{2}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x^{2}(x)} + \frac{3*-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{2}(x)}{x^{2}} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*2ln(x)}{x^{2}(x)} + \frac{3*-{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x^{2}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{5}(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{5}(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*5ln^{4}(x)}{x(x)} + \frac{9*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{9{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{3}(x)}{x^{2}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*3ln^{2}(x)}{x^{2}(x)} + \frac{24*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{24({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{24{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{24{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x^{2}} + \frac{24{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x^{2}(x)} + \frac{12*-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{12({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + \frac{12{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln(x)}{x^{2}} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln(x)}{x^{2}} + \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}(x)} + ({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{6}(x) + {x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{6}(x) + {x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{6}(x) + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*6ln^{5}(x)}{(x)} + \frac{3*-{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x^{2}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{4}(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{4}(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*4ln^{3}(x)}{x(x)} + 3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) + 3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{4}(x) + 3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{4}(x) + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*4ln^{3}(x)}{(x)} - \frac{3*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{3}} - \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{x^{2}(x)} + \frac{3*-2{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{3}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{4}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*4ln^{3}(x)}{x^{2}(x)} + \frac{6*-2{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{3}} + \frac{6({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{6{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{3}(x)}{x^{2}} + \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*3ln^{2}(x)}{x^{2}(x)} - \frac{3*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{3}} - \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{x^{2}(x)} + \frac{3*-2{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{3}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{x^{2}(x)} + \frac{2*-{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x^{2}} + \frac{2({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{(2e^{x})}e^{x}ln^{2}(x)}{x} + \frac{2{x}^{{x}^{e^{x}}}({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{x}ln^{2}(x)}{x} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}*2ln(x)}{x(x)} + \frac{10*-2{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{10({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{10{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{2}} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}(x)} + \frac{-{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + \frac{{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x)}{x} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{x(x)} + ({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + {x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln^{2}(x) + {x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x) + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}*2ln(x)}{(x)} + \frac{5*-{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} + \frac{5({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}ln(x)}{x} + \frac{5{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}ln(x)}{x} + \frac{5{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} + \frac{5{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x(x)} - \frac{4*-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{4({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} - \frac{4{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{2}} - \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} - \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}(x)} + \frac{2*-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{2{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}(x)} - \frac{2*-2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{3}} - \frac{2({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}ln(x)}{x^{2}} - \frac{2{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}ln(x)}{x^{2}} - \frac{2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} - \frac{2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}(x)} - \frac{3*-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{4}} - \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} - \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln(x)}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln(x)}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}(x)} - \frac{3*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{4}} - \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x^{3}} - \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x^{3}(x)} - \frac{6*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} - \frac{6({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{6{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{3}} - \frac{6{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{6{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}(x)} + \frac{9*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{4}} + \frac{9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{9{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln(x)}{x^{3}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln(x)}{x^{3}} + \frac{9{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}(x)} + \frac{-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{4}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}}{x^{3}(x)} + \frac{3*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{4}} + \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*2ln(x)}{x^{3}(x)} + \frac{2*-2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{3}} + \frac{2({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{(2e^{x})}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{{x}^{e^{x}}}({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{x}ln(x)}{x^{2}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{2}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{2}(x)} + \frac{-3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{4}} + \frac{({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*3e^{{x}*{2}}e^{x}ln^{3}(x)}{x^{3}} + \frac{{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}*3ln^{2}(x)}{x^{3}(x)} + \frac{3*-3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{4}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}ln^{2}(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}*2ln(x)}{x^{3}(x)} + \frac{-{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x(x)} + \frac{3*-3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}ln(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}(x)} - \frac{3*-3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{4}} - \frac{3({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}}{x^{3}} - \frac{3{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}}{x^{3}} - \frac{3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{2*-3{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{4}} + \frac{2({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{(2e^{x})}e^{x}}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{x}}{x^{3}} + \frac{2{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{3}} + \frac{4*-2{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{4({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{x}}{x^{2}} + \frac{4{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}}{x^{2}} + \frac{4{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{2*-2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{2{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}}{x^{2}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{4*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{4}} + \frac{4({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{4{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}}{x^{3}} + \frac{4{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{2*-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{4}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}} + \frac{2{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{{x}*{2}}}{x^{3}} + \frac{2{x}^{e^{x}}{x}^{{x}^{e^{x}}}*2e^{x}e^{x}}{x^{3}} - \frac{3*-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{4}} - \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}e^{x}}{x^{3}} - \frac{3{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))e^{x}}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{-3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{2}}}{x^{4}} + \frac{({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)})){x}^{e^{x}}e^{{x}*{2}}}{x^{3}} + \frac{{x}^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}}{x^{3}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}*2e^{x}e^{x}}{x^{3}} - \frac{3*-3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{4}} - \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x^{3}} - \frac{3{x}^{(2e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x^{3}} + \frac{2*-3{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{4}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x^{3}} + \frac{2{x}^{e^{x}}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x^{3}} + \frac{-3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}}{x^{4}} + \frac{({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)})){x}^{{x}^{e^{x}}}}{x^{3}} + \frac{{x}^{(3e^{x})}({x}^{{x}^{e^{x}}}((({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})))ln(x) + \frac{({x}^{e^{x}})(1)}{(x)}))}{x^{3}}\\=&{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{5}(x) + \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{4}(x)}{x} + 7{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{6}(x) + \frac{28{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{5}(x)}{x} + \frac{100{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x} + 6{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x) + \frac{28{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x} - \frac{6{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{6{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{3}(x)}{x^{2}} + \frac{24{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{6}(x)}{x} + \frac{42{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{4}(x)}{x^{2}} + \frac{174{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{2}} + \frac{42{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{2}} + 6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{7}(x) + \frac{48{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x} + 18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x) - \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} + \frac{36{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{5}(x)}{x^{2}} + \frac{102{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{2}} - \frac{36{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{66{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{2}} + \frac{64{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x} + \frac{156{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + 7{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x) + \frac{40{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x} - \frac{24{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{2}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{7}(x)}{x} + \frac{60{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{2}} + \frac{8{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} - \frac{36{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} - \frac{96{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} - \frac{48{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} + \frac{4{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{2}(x)}{x^{3}} + \frac{28{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{3}(x)}{x^{3}} + \frac{120{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{3}} + \frac{24{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{3}} - \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x^{2}} + \frac{6{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{6}(x)}{x^{2}} + \frac{12{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{5}(x)}{x^{2}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{6}(x)}{x} + \frac{24{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{4}(x)}{x^{3}} + \frac{84{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{3}} + \frac{84{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{3}} + \frac{120{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{3}} - \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x^{2}} + {x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{8}(x) + 6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{6}(x) + \frac{12{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x} + \frac{6{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x)}{x^{2}} + \frac{8{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{3}} + 7{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{4}(x) - \frac{12{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{3}} - \frac{24{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{3}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{5}(x)}{x^{3}} + \frac{12{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{4}(x)}{x^{3}} + \frac{12{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{3}(x)}{x^{3}} + \frac{8{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{3}} - \frac{5{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x^{2}} - \frac{12{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{3}} - \frac{38{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{3{x}^{{x}^{e^{x}}}{x}^{(3e^{x})}e^{x}ln^{2}(x)}{x^{2}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{3}} + \frac{21{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} + \frac{3{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x} + \frac{3{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{14{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{2}} - \frac{{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln^{2}(x)}{x^{2}} + \frac{{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln^{2}(x)}{x} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{7{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x} - \frac{9{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{2}} + {x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln^{2}(x) + \frac{10{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{3}} - \frac{6{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} + \frac{6{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x^{3}} - \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{2}} + \frac{11{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{4}} + \frac{11{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{4}} + \frac{22{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} - \frac{54{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{4}} - \frac{10{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}ln(x)}{x^{3}} - \frac{6{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{4}} - \frac{18{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{4}} + \frac{28{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln(x)}{x^{4}} - \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{4}} - \frac{18{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{4}} + \frac{24{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{2}(x)}{x^{4}} - \frac{18{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} + \frac{30{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln(x)}{x^{4}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}ln(x)}{x} + \frac{3{x}^{{x}^{e^{x}}}{x}^{(3e^{x})}e^{x}ln(x)}{x^{3}} + \frac{{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln(x)}{x^{4}} + \frac{7{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{2}(x)}{x^{4}} + \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{3}(x)}{x^{4}} + \frac{{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{4}}ln^{4}(x)}{x^{4}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{3}}ln^{3}(x)}{x^{4}} + \frac{6{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}ln^{2}(x)}{x^{4}} + \frac{4{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}e^{x}ln(x)}{x^{4}} + \frac{{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{3}}}{x^{4}} - \frac{15{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{3}} + \frac{9{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{11{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{4}} - \frac{6{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{2}}}{x^{4}} + \frac{14{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{3}} - \frac{12{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{x}}{x^{4}} + \frac{3{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{x}}{x^{2}} + \frac{9{x}^{{x}^{e^{x}}}{x}^{(2e^{x})}e^{{x}*{2}}}{x^{4}} + \frac{10{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} - \frac{9{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{3}} + \frac{3{x}^{{x}^{e^{x}}}{x}^{(3e^{x})}e^{x}}{x^{4}} - \frac{24{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{4}} - \frac{12{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{4}} + \frac{9{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}e^{x}}{x^{4}} + \frac{15{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{4}} + \frac{10{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{3}} + \frac{3{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{{x}*{3}}}{x^{4}} + \frac{11{x}^{e^{x}}{x}^{{x}^{e^{x}}}e^{x}}{x^{4}} + \frac{14{x}^{{x}^{e^{x}}}{x}^{e^{x}}e^{{x}*{2}}}{x^{3}} - \frac{6{x}^{(3e^{x})}{x}^{{x}^{e^{x}}}}{x^{4}} - \frac{6{x}^{e^{x}}{x}^{{x}^{e^{x}}}}{x^{4}} + \frac{11{x}^{(2e^{x})}{x}^{{x}^{e^{x}}}}{x^{4}} + \frac{{x}^{(4e^{x})}{x}^{{x}^{e^{x}}}}{x^{4}}\\ \end{split}\end{equation} \]

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