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当前位置:求导函数 > 导函数计算历史 > 答案
    本次共计算 1 个题目:每一题对 x 求 4 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{({x}^{x})}^{{x}^{x}} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {{x}^{x}}^{{x}^{x}}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( {{x}^{x}}^{{x}^{x}}\right)}{dx}\\=&({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))\\=&{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))\\=&{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x} + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 2{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 4{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}}{x} + 2{x}^{x}{{x}^{x}}^{{x}^{x}} + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( {x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x} + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 2{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 4{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}}{x} + 2{x}^{x}{{x}^{x}}^{{x}^{x}} + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}*2ln(x)ln({x}^{x})}{(x)} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln^{2}({x}^{x}) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln^{2}({x}^{x})}{(x)} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln(x) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln({x}^{x}) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln({x}^{x})}{(x)} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln^{2}({x}^{x}) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + \frac{-{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{2}} + \frac{({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}ln({x}^{x})}{x} + \frac{{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x})}{x} + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x}) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x) + 2{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x) + \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}*2ln(x)}{(x)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)}{(x)} + 4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + 4{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{4{x}^{x}{{x}^{x}}^{{x}^{x}}}{(x)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x}) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + 2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + \frac{-{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{2}} + \frac{({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}}{x} + \frac{{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x} + 2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + 2{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})) + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))\\=&{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 3{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 8{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 23{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{3}({x}^{x}) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 7{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x} + 8{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + 5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 13{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + 14{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x} + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 2{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + \frac{4{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln({x}^{x})}{x} + 5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x}) - \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{2}} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln^{2}({x}^{x})}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{6{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)}{x} + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + 9{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 9{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + 3{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x} + 6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x) + \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}}{x} + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) - \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{2}} + \frac{4{{x}^{x}}^{{x}^{x}}{x}^{x}}{x} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x} + 3{x}^{x}{{x}^{x}}^{{x}^{x}} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}} + 6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( {x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 3{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 8{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 23{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{3}({x}^{x}) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 7{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x} + 8{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + 5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 13{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + 14{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x} + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 2{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + \frac{4{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln({x}^{x})}{x} + 5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x) + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x}) - \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{2}} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln^{2}({x}^{x})}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{6{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)}{x} + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + 9{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 9{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + 3{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x} + 6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + {x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x) + \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}}{x} + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) - \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{2}} + \frac{4{{x}^{x}}^{{x}^{x}}{x}^{x}}{x} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x} + 3{x}^{x}{{x}^{x}}^{{x}^{x}} + {x}^{(3x)}{{x}^{x}}^{{x}^{x}} + 6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln({x}^{x})}{(x)} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 3{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln({x}^{x}) + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}*2ln(x)ln({x}^{x})}{(x)} + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 3{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln^{2}({x}^{x}) + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln^{2}({x}^{x})}{(x)} + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 8({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 8{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln^{2}({x}^{x}) + \frac{8{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln^{2}({x}^{x})}{(x)} + \frac{8{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 9({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 9{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln({x}^{x}) + \frac{9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln({x}^{x})}{(x)} + \frac{9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 23({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 23{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln({x}^{x}) + \frac{23{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln({x}^{x})}{(x)} + \frac{23{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + \frac{3*-{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x^{2}} + \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + \frac{3{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x})}{x} + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x(x)} + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{3}({x}^{x}) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln^{3}({x}^{x}) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln^{3}({x}^{x})}{(x)} + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x}) + 2{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln^{3}({x}^{x}) + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln^{3}({x}^{x})}{(x)} + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln^{2}({x}^{x}) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln^{2}({x}^{x})}{(x)} + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 7({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 7{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln^{2}({x}^{x}) + \frac{7{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln^{2}({x}^{x})}{(x)} + \frac{7{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x)ln({x}^{x}) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)ln({x}^{x})}{(x)} + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 4({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + 4{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln^{2}(x) + \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x})} + \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})*2ln(x)}{(x)} + \frac{2*-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x^{2}} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x} + \frac{2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln^{2}({x}^{x})}{x} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x(x)} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + 8({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 8{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x)ln({x}^{x}) + \frac{8{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln(x)ln({x}^{x})}{(x)} + \frac{8{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 4({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 4{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{5*-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x^{2}} + \frac{5({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + \frac{5{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x})}{x} + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x(x)} + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + 5({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 5{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln(x) + \frac{5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + 13({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 13{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{13{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{13{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + 2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + 2{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln^{2}(x) + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x})} + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})*2ln(x)}{(x)} + 14({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 14{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x}) + \frac{14{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{14{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + \frac{-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x^{2}} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x} + \frac{{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln(x)}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{x({x}^{x})} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}({x}^{x})ln^{2}(x) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x})} + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})*2ln(x)}{(x)} + \frac{-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x^{2}} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x} + \frac{{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x)}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{x({x}^{x})} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln(x) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + 2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 2{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x}) + \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 4({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 4{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln^{2}({x}^{x}) + \frac{4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + \frac{4{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 5({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 5{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln({x}^{x}) + \frac{5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{(x)} + \frac{5{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 4({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 4{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln(x) + \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + \frac{4*-{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln({x}^{x})}{x^{2}} + \frac{4({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{(2x)}ln({x}^{x})}{x} + \frac{4{{x}^{x}}^{{x}^{x}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln({x}^{x})}{x} + \frac{4{{x}^{x}}^{{x}^{x}}{x}^{(2x)}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + 5({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 5{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln^{2}({x}^{x}) + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{(x)} + \frac{5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x) + 2{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}({x}^{x})ln(x) + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{({x}^{x})} + \frac{2{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})}{(x)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + {x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})ln^{2}(x) + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x})} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})*2ln(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x}) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)ln^{3}({x}^{x}) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})}{(x)} + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} - \frac{-2{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{3}} - \frac{({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}ln({x}^{x})}{x^{2}} - \frac{{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x})}{x^{2}} - \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x^{2}({x}^{x})} + \frac{2*-{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln^{2}({x}^{x})}{x^{2}} + \frac{2({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{(2x)}ln^{2}({x}^{x})}{x} + \frac{2{{x}^{x}}^{{x}^{x}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))ln^{2}({x}^{x})}{x} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + \frac{-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x^{2}} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x} + \frac{{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x})}{x} + \frac{{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + \frac{2*-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x^{2}} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{2{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})}{x} + \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + \frac{-{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x^{2}} + \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})}{x} + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + \frac{6*-{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)}{x^{2}} + \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)}{x} + \frac{6{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)}{x} + \frac{6{x}^{x}{{x}^{x}}^{{x}^{x}}}{x(x)} + \frac{3*-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x^{2}} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x)}{x} + \frac{3{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x)}{x} + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x})ln^{2}(x) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{({x}^{x})} + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})*2ln(x)}{(x)} + 9({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x) + 9{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x) + \frac{9{x}^{x}{{x}^{x}}^{{x}^{x}}*2ln(x)}{(x)} + 9({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + 9{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{9{x}^{x}{{x}^{x}}^{{x}^{x}}}{(x)} + 3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x) + 3{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x) + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)}{(x)} + 18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x) + 18{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x) + \frac{18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln(x)}{(x)} + \frac{2*-{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{2}} + \frac{2({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}ln({x}^{x})}{x} + \frac{2{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln({x}^{x})}{x} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x({x}^{x})} + 6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x) + 6{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x) + \frac{6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)}{(x)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}(x) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}(x) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}(x) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}(x) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x}) + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{3}({x}^{x}) + \frac{{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*3ln^{2}({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x}) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 9({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 9{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + 18{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{(x)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln(x) + 3{x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln(x) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}}{(x)} + \frac{2*-{x}^{x}{{x}^{x}}^{{x}^{x}}}{x^{2}} + \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}}{x} + \frac{2{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))}{x} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln({x}^{x}) + {x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln({x}^{x}) + \frac{{x}^{x}{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 3{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))ln^{2}({x}^{x}) + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}*2ln({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{({x}^{x})} - \frac{-2{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{3}} - \frac{({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}}{x^{2}} - \frac{{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x^{2}} + \frac{4*-{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{2}} + \frac{4({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{x}}{x} + \frac{4{{x}^{x}}^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{x} + \frac{2*-{{x}^{x}}^{{x}^{x}}{x}^{(2x)}}{x^{2}} + \frac{2({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})){x}^{(2x)}}{x} + \frac{2{{x}^{x}}^{{x}^{x}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))}{x} + \frac{-{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x^{2}} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}}}{x} + \frac{{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))}{x} + 3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + 3{x}^{x}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})) + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + {x}^{(3x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})) + 6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){{x}^{x}}^{{x}^{x}} + 6{x}^{(2x)}({{x}^{x}}^{{x}^{x}}((({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln({x}^{x}) + \frac{({x}^{x})(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})}))\\=&{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln({x}^{x}) + 4{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 7{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{2}({x}^{x}) + 27{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + 28{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln({x}^{x}) + 103{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + \frac{6{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x})}{x} + 6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{3}({x}^{x}) + 21{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{3}({x}^{x}) + 24{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{2}({x}^{x}) + 84{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + \frac{12{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + 30{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln({x}^{x}) + 108{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + \frac{15{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x})}{x} + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{4}({x}^{x}) + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{4}({x}^{x}) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{3}({x}^{x}) + 13{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{3}({x}^{x}) + \frac{28{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x} + 137{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 133{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 6{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln^{2}({x}^{x}) + 21{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln^{2}({x}^{x}) + \frac{48{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x})}{x} + 101{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{3}(x) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x)ln({x}^{x}) + \frac{88{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + 9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{3}(x) + 43{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) - \frac{4{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x^{2}} + \frac{3{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x)}{x} + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x)}{x} + \frac{12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x})}{x} + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x})}{x} + \frac{15{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x})}{x} + 25{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 15{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x)ln({x}^{x}) + 20{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + \frac{6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x})}{x} + 12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{3}(x) + 14{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x}) + 35{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + 43{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + \frac{23{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x} + 6{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln({x}^{x}) + 37{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{2}({x}^{x}) + 61{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 24{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{3}({x}^{x}) + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)ln^{4}({x}^{x}) - \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x})}{x^{2}} + 54{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 55{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + 11{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x) + 41{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + \frac{29{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x} + \frac{6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x)}{x} - \frac{6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x})}{x^{2}} + \frac{20{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x} - \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x^{2}} + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}({x}^{x})ln^{2}(x) + 14{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) - \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x^{2}} + 59{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 58{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 11{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + \frac{13{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x} + \frac{8{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x)}{x} + \frac{6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x)}{x} + {x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{3}(x) + 10{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x) + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{3}(x) + 12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{2}(x) + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + 11{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln(x) + \frac{6{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x)}{x} + 3{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + 3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln^{3}(x) + 10{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{3}(x) + 9{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln(x)ln({x}^{x}) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x)}{x} + \frac{7{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x)}{x} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln({x}^{x})}{x^{2}} + \frac{18{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x)}{x} + 15{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})ln(x) + \frac{3{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x} + 17{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{2}({x}^{x}) + 5{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})ln^{2}(x) + 3{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}({x}^{x})ln(x) + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}({x}^{x})ln^{3}(x) + 7{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln(x) + \frac{9{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln^{2}({x}^{x})}{x} + \frac{9{{x}^{x}}^{{x}^{x}}{x}^{(3x)}ln^{2}({x}^{x})}{x} + \frac{72{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x} - \frac{8{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)}{x^{2}} + 9{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x}) + 5{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{3}({x}^{x}) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{2}(x) + \frac{3{{x}^{x}}^{{x}^{x}}{x}^{(3x)}ln^{3}({x}^{x})}{x} + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln(x)ln^{4}({x}^{x}) + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{3}} + \frac{36{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x)}{x} + \frac{27{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{27{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln({x}^{x})}{x} + \frac{{{x}^{x}}^{{x}^{x}}{x}^{x}ln({x}^{x})}{x^{2}} + \frac{36{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)}{x} + \frac{6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x)}{x} - \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x^{2}} - \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x^{2}} - \frac{2{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x^{2}} + \frac{3{x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{9{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x} + \frac{9{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})}{x} + \frac{9{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x})}{x} + \frac{{{x}^{x}}^{{x}^{x}}{x}^{(2x)}ln^{2}({x}^{x})}{x^{2}} + \frac{12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x} - \frac{4{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x)}{x^{2}} + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x})}{x} + \frac{9{{x}^{x}}^{{x}^{x}}{x}^{(3x)}ln({x}^{x})}{x} + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x})ln^{3}(x) + 16{x}^{x}{{x}^{x}}^{{x}^{x}}ln(x) + 24{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x) + 48{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 4{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{4}(x) + 12{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 16{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + 96{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{3}(x) + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}(x) + 144{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) - \frac{4{x}^{x}{{x}^{x}}^{{x}^{x}}}{x^{2}} + 24{x}^{x}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 72{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + \frac{9{x}^{x}{{x}^{x}}^{{x}^{x}}}{x} + 6{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}(x) + 6{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x}) + {x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{4}({x}^{x}) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{3}({x}^{x}) + 24{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 6{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + 30{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 28{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 96{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln(x) + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 48{x}^{(3x)}{{x}^{x}}^{{x}^{x}}ln(x) + \frac{3{x}^{(3x)}{{x}^{x}}^{{x}^{x}}}{x} + 4{x}^{(4x)}{{x}^{x}}^{{x}^{x}}ln(x) + \frac{3{{x}^{x}}^{{x}^{x}}{x}^{(3x)}}{x} + \frac{18{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x} + {x}^{x}{{x}^{x}}^{{x}^{x}}ln({x}^{x}) + 7{x}^{(2x)}{{x}^{x}}^{{x}^{x}}ln^{2}({x}^{x}) + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{3}} + \frac{9{{x}^{x}}^{{x}^{x}}{x}^{x}}{x} - \frac{2{x}^{(2x)}{{x}^{x}}^{{x}^{x}}}{x^{2}} + \frac{{{x}^{x}}^{{x}^{x}}{x}^{(2x)}}{x^{2}} + \frac{2{{x}^{x}}^{{x}^{x}}{x}^{x}}{x^{2}} + \frac{18{{x}^{x}}^{{x}^{x}}{x}^{(2x)}}{x} + {x}^{(4x)}{{x}^{x}}^{{x}^{x}} + 4{x}^{x}{{x}^{x}}^{{x}^{x}} + 12{x}^{(3x)}{{x}^{x}}^{{x}^{x}} + 24{x}^{(2x)}{{x}^{x}}^{{x}^{x}}\\ \end{split}\end{equation} \]





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