本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{-4{x}^{x}}{({({x}^{40} - 2)}^{2} + \frac{1}{({x}^{40} - 2)})} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{-4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\right)}{dx}\\=&-4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\=&\frac{320x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{640x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{160x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{4{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{320x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{640x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{160x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{4{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\right)}{dx}\\=&320(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{79}{x}^{x} + \frac{320*79x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{320x^{79}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - 640(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x} - \frac{640*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{640x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{160(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{160(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{160*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{160x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln(x) - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\=&\frac{640x^{79}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} + \frac{25280x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{51200x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{204800x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{204800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{102400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{24960x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{12800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{12800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{6240x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{51200x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{640x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{4{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{8{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{640x^{79}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} + \frac{25280x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{51200x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{204800x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{204800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{102400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{24960x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{12800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{12800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{6240x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{51200x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{640x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{4{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{8{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\right)}{dx}\\=&640(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{79}{x}^{x}ln(x) + \frac{640*79x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{640x^{79}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{640x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x)} - 1280(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}ln(x) - \frac{1280*39x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x)} - \frac{320(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}ln(x)}{(x^{40} - 2)^{2}} - \frac{320(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320*39x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{320x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{320x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}(x)} + 25280(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{78}{x}^{x} + \frac{25280*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{25280x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - 51200(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{158}{x}^{x} - \frac{51200*158x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{51200x^{158}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + 204800(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{118}{x}^{x} + \frac{204800*118x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{204800x^{118}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - 204800(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{78}{x}^{x} - \frac{204800*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{204800x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{102400(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{78}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{102400(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{102400*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{102400x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - 24960(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{38}{x}^{x} - \frac{24960*38x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{24960x^{38}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{12800(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{78}{x}^{x}}{(x^{40} - 2)^{4}} - \frac{12800(\frac{-4(40x^{39} + 0)}{(x^{40} - 2)^{5}})x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{12800*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{12800x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{12800(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{78}{x}^{x}}{(x^{40} - 2)^{3}} + \frac{12800(\frac{-3(40x^{39} + 0)}{(x^{40} - 2)^{4}})x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{12800*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{12800x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{6240(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{6240(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{38}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{6240*38x^{37}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{6240x^{38}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{51200(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{118}{x}^{x}}{(x^{40} - 2)^{2}} + \frac{51200(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{51200*118x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{51200x^{118}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + 640(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{79}{x}^{x} + \frac{640*79x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{640x^{79}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - 1280(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x} - \frac{1280*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1280x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{320(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{320*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{320x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln^{2}(x) - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}*2ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} - 8(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln(x) - \frac{8({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{8{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} - \frac{4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}}{x} - \frac{4*-{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\=&\frac{-153600x^{158}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{614400x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{153600x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{75840x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{960x^{79}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{74880x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{614400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{307200x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{1920x^{79}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{3840x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{12{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{76800x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{38400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{38400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{18720x^{38}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{960x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{480x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{12134400x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{36249600x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{2022400x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{1971840x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{12288000x^{237}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{18432000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{147456000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{73728000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{614400x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{98304000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{23961600x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{153600x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{614400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{18432000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} + \frac{12288000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{9984000x^{77}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{1996800x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{948480x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{9216000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} - \frac{1536000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{6}} + \frac{3072000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{5}} - \frac{1497600x^{77}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{38400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{6144000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{1536000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} + \frac{1497600x^{77}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{38400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{7040000x^{117}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{237120x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{307200x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{153600x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{18720x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{960x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{4{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} + \frac{76800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{12{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} + \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-153600x^{158}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{614400x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{153600x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{75840x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{960x^{79}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{74880x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{614400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{307200x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{1920x^{79}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{3840x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{12{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{76800x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{38400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{38400x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{18720x^{38}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{960x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{480x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{12134400x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{36249600x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{2022400x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{1971840x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{12288000x^{237}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{18432000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{147456000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{73728000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{614400x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{98304000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{23961600x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{153600x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{614400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{18432000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} + \frac{12288000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{9984000x^{77}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{1996800x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{948480x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{9216000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} - \frac{1536000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{6}} + \frac{3072000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{5}} - \frac{1497600x^{77}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{38400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{6144000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{1536000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} + \frac{1497600x^{77}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{38400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{7040000x^{117}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{237120x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{307200x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{153600x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{18720x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{960x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{4{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} + \frac{76800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{12{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} + \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\right)}{dx}\\=&-153600(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{158}{x}^{x}ln(x) - \frac{153600*158x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{153600x^{158}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{153600x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x)} + 614400(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{118}{x}^{x}ln(x) + \frac{614400*118x^{117}{x}^{x}ln(x)}{(x^{80} - 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4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}(x)} + \frac{38400(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{78}{x}^{x}ln(x)}{(x^{40} - 2)^{3}} + \frac{38400(\frac{-3(40x^{39} + 0)}{(x^{40} - 2)^{4}})x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{38400*78x^{77}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{38400x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{38400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}(x)} - \frac{18720(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{18720(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{38}{x}^{x}ln(x)}{(x^{40} - 2)^{2}} - \frac{18720*38x^{37}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{18720x^{38}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{18720x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x)} - \frac{480(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}ln^{2}(x)}{(x^{40} - 2)^{2}} - \frac{480(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480*39x^{38}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{480x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{480x^{39}{x}^{x}*2ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 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4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{117}{x}^{x}}{(x^{40} - 2)^{2}} + \frac{2022400(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{2022400*117x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{2022400x^{117}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + 1971840(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{77}{x}^{x} + \frac{1971840*77x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{1971840x^{77}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + 12288000(\frac{-4(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}})x^{237}{x}^{x} + \frac{12288000*237x^{236}{x}^{x}}{(x^{80} - 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\frac{1536000(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{117}{x}^{x}}{(x^{40} - 2)^{4}} - \frac{1536000(\frac{-4(40x^{39} + 0)}{(x^{40} - 2)^{5}})x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1536000*117x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} - \frac{1536000x^{117}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} + \frac{1497600(\frac{-3(40x^{39} + 0)}{(x^{40} - 2)^{4}})x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{1497600(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{77}{x}^{x}}{(x^{40} - 2)^{3}} + \frac{1497600*77x^{76}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{1497600x^{77}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{40} - 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2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{237120(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{37}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{237120(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{237120*37x^{36}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{237120x^{37}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{307200(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{78}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{307200(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{307200*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{307200x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{153600(\frac{-3(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}})x^{118}{x}^{x}}{(x^{40} - 2)^{2}} + \frac{153600(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{153600*118x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{153600x^{118}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{18720(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{18720(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{38}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{18720*38x^{37}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{18720x^{38}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + 960(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{79}{x}^{x} + \frac{960*79x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{960x^{79}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln^{3}(x) - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{4{x}^{x}*3ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} - 12(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln^{2}(x) - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}*2ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} + 76800(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{78}{x}^{x} + \frac{76800*78x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{76800x^{78}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - 1920(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x} - \frac{1920*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480(\frac{-2(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}})x^{39}{x}^{x}}{(x^{40} - 2)^{2}} - \frac{480(\frac{-2(40x^{39} + 0)}{(x^{40} - 2)^{3}})x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{480*39x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{480x^{39}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - 12(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}ln(x) - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{12{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)(x)} - \frac{12(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}}{x} - \frac{12*-{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} + \frac{4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x}}{x^{2}} + \frac{4*-2{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{3}} + \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - 4(\frac{-(80x^{79} - 4*40x^{39} + (\frac{-(40x^{39} + 0)}{(x^{40} - 2)^{2}}) + 0)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}}){x}^{x} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\=&\frac{49152000x^{237}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{294912000x^{197}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{197}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{48537600x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{307200x^{158}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{1228800x^{118}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{144998400x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{589824000x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{294912000x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{95846400x^{77}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{1228800x^{78}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{2457600x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{7887360x^{77}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{36864000x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} - \frac{24576000x^{157}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} + \frac{28160000x^{117}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{307200x^{118}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{614400x^{78}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{39936000x^{77}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{8089600x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{151680x^{78}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{1280x^{79}{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{307200x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{2560x^{39}{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{149760x^{38}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{307200x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{3840x^{79}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{7680x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{3793920x^{37}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{393216000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{7987200x^{77}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{614400x^{158}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{2457600x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{3840x^{79}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{294912000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{7680x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{16{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{24{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{48{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{73728000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} + \frac{49152000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} + \frac{5990400x^{77}{x}^{x}ln(x)}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{76800x^{78}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{1228800x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{614400x^{118}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{146227200x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{155520x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{48844800x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{157440x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{960x^{38}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} + \frac{8037760x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{3941120x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{97075200x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{5990400x^{77}{x}^{x}ln(x)}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{6144000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{6}} + \frac{12288000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{5}} + \frac{153600x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{76800x^{78}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{153600x^{78}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{6144000x^{117}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} - \frac{948480x^{37}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{37440x^{38}{x}^{x}ln^{2}(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{640x^{39}{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{75840x^{38}{x}^{x}ln(x)}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{1920x^{39}{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{1920x^{39}{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{8601600x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{36960x^{37}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{76800x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{8396800x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{76800x^{77}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{1920x^{38}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} + \frac{5824512000x^{236}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{29048832000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{1941504000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{2220595200x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{46301184000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{5799936000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{5023948800x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{242688000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} - \frac{161792000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} + \frac{236620800x^{116}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{1019366400x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{151831680x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{3932160000x^{316}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}} + \frac{31457280000x^{276}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}} + \frac{7864320000x^{276}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{2}} - \frac{94371840000x^{236}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}} - \frac{47185920000x^{236}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{2}} - \frac{5898240000x^{236}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{4}} + \frac{2949120000x^{236}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{3}} - \frac{5320704000x^{196}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{125829120000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}} + \frac{94371840000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{2}} + \frac{23592960000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{4}} - \frac{11796480000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{3}} + \frac{17350656000x^{156}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{294912000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{589824000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{294912000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{62914560000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}} - \frac{62914560000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{2}} - \frac{23003136000x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{23592960000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{4}} + \frac{11796480000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{3}} - \frac{13418496000x^{116}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{3833856000x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{2148556800x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{49152000x^{237}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{73728000x^{197}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} - \frac{307200x^{158}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{393216000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{294912000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{2}} + \frac{1228800x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{1228800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{3932160000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{6}} + \frac{5898240000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{5}} - \frac{4073472000x^{116}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{1966080000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{2715648000x^{116}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{49152000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{920524800x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{239616000x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} + \frac{159744000x^{116}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} - \frac{153753600x^{76}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{35093760x^{36}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{1966080000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{6}} - \frac{2949120000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{5}} + \frac{2651136000x^{156}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} + \frac{36864000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} - \frac{245760000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{5}(x^{40} - 2)^{8}} + \frac{737280000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{7}} - \frac{359424000x^{116}{x}^{x}}{(x^{40} - 2)^{6}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}} - \frac{737280000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{6}} + \frac{718848000x^{116}{x}^{x}}{(x^{40} - 2)^{5}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{73728000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{4}} + \frac{12288000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{5}} - \frac{134284800x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{6144000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{4}(x^{40} - 2)^{6}} - \frac{5990400x^{77}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{76800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} + \frac{983040000x^{196}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{4}} - \frac{1767424000x^{156}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{24576000x^{157}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{3}} + \frac{245760000x^{156}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{5}} - \frac{359424000x^{116}{x}^{x}}{(x^{40} - 2)^{4}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{6144000x^{117}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{4}} + \frac{134284800x^{76}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} + \frac{5990400x^{77}{x}^{x}}{(x^{40} - 2)^{3}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} + \frac{76800x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{3}} - \frac{39936000x^{77}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} + \frac{28160000x^{117}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}} - \frac{8773440x^{36}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{948320x^{37}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} - \frac{614400x^{78}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} + \frac{307200x^{118}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{3}(x^{40} - 2)^{2}} - \frac{37440x^{38}{x}^{x}}{(x^{40} - 2)^{2}(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{4{x}^{x}ln^{4}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{16{x}^{x}ln^{3}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{24{x}^{x}ln^{2}(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{2560x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{640x^{39}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}(x^{40} - 2)^{2}} + \frac{1280x^{79}{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)^{2}} - \frac{16{x}^{x}ln(x)}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)} - \frac{24{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x} - \frac{8{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{3}} + \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)x^{2}} - \frac{4{x}^{x}}{(x^{80} - 4x^{40} + \frac{1}{(x^{40} - 2)} + 4)}\\ \end{split}\end{equation} \]

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