数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
    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 3 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}} 关于 x 的 3 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}\right)}{dx}\\=&(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})\\=&\frac{-log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)}{ln({x}^{x})sinh(x)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)}{ln({x}^{x})sinh(x)}\right)}{dx}\\=&\frac{-(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})ln(x)}{ln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{(x)ln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{2}({x}^{x})({x}^{x})} - \frac{(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})}{ln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{2}({x}^{x})({x}^{x})} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}sinh(x)ln(sinh(x))sech^{2}(x)}{(cosh(x))ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{(sinh(x))ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh(x)tanh(x)}{(sinh(x))ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh(x)tanh(x)}{ln^{2}({x}^{x})({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))cosh(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-sinh(x)tanh(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))cosh(x)}{ln({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))cosh(x)}{ln^{2}({x}^{x})({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}*-cosh(x)cosh(x)}{ln({x}^{x})sinh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}sinh(x)}{ln({x}^{x})sinh(x)}\\=&\frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{2}(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln(x)sech^{2}(x)}{ln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{xln({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}cosh(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))sech^{4}(x)}{ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}tanh(x)}{ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))tanh(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh^{2}(x)}{ln({x}^{x})sinh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}}{ln({x}^{x})}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{2}(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln(x)sech^{2}(x)}{ln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{xln({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}cosh(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))sech^{4}(x)}{ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}tanh(x)}{ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))tanh(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh^{2}(x)}{ln({x}^{x})sinh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}}{ln({x}^{x})}\right)}{dx}\\=&\frac{2(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})ln^{2}(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}*2ln(x)}{(x)ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{2}(x)*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{3}({x}^{x})({x}^{x})} + \frac{2(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})ln(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)}{ln^{3}({x}^{x})({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln^{2}({x}^{x})(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))ln(sinh(x))ln(x)sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}sinh(x)ln(sinh(x))ln(x)sech^{2}(x)}{(cosh(x))ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)ln(x)sech^{2}(x)}{(sinh(x))ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)sech^{2}(x)}{ln^{3}({x}^{x})({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln^{2}({x}^{x})(x)} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln(x)*-2sech(x)sech(x)tanh(x)}{ln^{2}({x}^{x})} + \frac{2({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}sinh(x)ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{(cosh(x))ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sinh(x)tanh(x)sech^{2}(x)}{(sinh(x))ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))cosh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)*-sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)sech^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})cosh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh(x)tanh(x)}{(sinh(x))ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh(x)tanh(x)}{ln^{3}({x}^{x})({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))cosh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{-log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{x^{2}ln({x}^{x})} - \frac{(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})}{xln({x}^{x})} - \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{xln^{2}({x}^{x})({x}^{x})} + \frac{2(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})ln(x)}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{(x)ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{3}({x}^{x})({x}^{x})} + \frac{2(\frac{(\frac{(({sinh(x)}^{{cosh(x)}^{tanh(x)}}((({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))})))ln(sinh(x)) + \frac{({cosh(x)}^{tanh(x)})(cosh(x))}{(sinh(x))})))}{({sinh(x)}^{{cosh(x)}^{tanh(x)}})} - \frac{(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{({x}^{x})})}{(ln({x}^{x}))})}{ln^{2}({x}^{x})} + \frac{2log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{3}({x}^{x})({x}^{x})} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}sinh(x)ln(sinh(x))sech^{2}(x)}{(cosh(x))ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{(sinh(x))ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sech^{2}(x)}{ln^{3}({x}^{x})({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))*-2sech(x)sech(x)tanh(x)}{ln^{2}({x}^{x})} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh(x)tanh(x)}{ln^{2}({x}^{x})(sinh(x))cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))cosh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{2({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{2{cosh(x)}^{tanh(x)}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))cosh(x)}{ln^{3}({x}^{x})({x}^{x})sinh(x)} - \frac{2{cosh(x)}^{tanh(x)}*-cosh(x)cosh(x)}{ln^{2}({x}^{x})sinh^{2}(x)} - \frac{2{cosh(x)}^{tanh(x)}sinh(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln^{2}(cosh(x))ln(sinh(x))sech^{4}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}*2ln(cosh(x))sinh(x)ln(sinh(x))sech^{4}(x)}{(cosh(x))ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))cosh(x)sech^{4}(x)}{(sinh(x))ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sech^{4}(x)}{ln^{2}({x}^{x})({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))*-4sech^{3}(x)sech(x)tanh(x)}{ln({x}^{x})} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))ln(x)sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)ln(x)sinh(x)tanh(x)}{(sinh(x))ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)sinh(x)tanh(x)}{ln^{3}({x}^{x})({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})(x)cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)cosh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)*-sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh(x)sech^{2}(x)}{(sinh(x))ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))cosh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-sinh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{2({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))cosh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} + \frac{2{cosh(x)}^{tanh(x)}sinh(x)cosh(x)sech^{2}(x)}{(cosh(x))ln({x}^{x})sinh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})sinh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))*-cosh(x)cosh(x)sech^{2}(x)}{ln({x}^{x})sinh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})sinh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{(x)ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(x)*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})(sinh(x))} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})(cosh(x))} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))*-2sech(x)sech(x)tanh(x)}{ln^{2}({x}^{x})} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}cosh(x)ln(cosh(x))sech^{2}(x)}{ln^{2}({x}^{x})(sinh(x))} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})(cosh(x))} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))*-2sech(x)sech(x)tanh(x)}{ln^{2}({x}^{x})} - \frac{2({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}sinh(x)ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})(cosh(x))} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})(sinh(x))} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)sech^{2}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh^{2}(x)tanh^{2}(x)}{(sinh(x))ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh^{2}(x)tanh^{2}(x)}{ln^{2}({x}^{x})({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*2sinh(x)cosh(x)tanh^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)*-2sinh(x)tanh^{2}(x)}{ln({x}^{x})cosh^{3}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)*2tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))tanh(x)}{ln({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))tanh(x)}{ln^{2}({x}^{x})({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}sech^{2}(x)}{ln({x}^{x})} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{(x)ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)cosh(x)sinh(x)tanh(x)}{ln^{2}({x}^{x})(sinh(x))cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))cosh(x)tanh(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)*-sinh(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh^{2}(x)tanh(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh^{2}(x)tanh(x)}{(sinh(x))ln({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*2sinh(x)cosh(x)tanh(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)*-2sinh(x)tanh(x)}{ln({x}^{x})cosh^{3}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))tanh(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}cosh(x)tanh(x)}{(sinh(x))ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))tanh(x)}{ln^{2}({x}^{x})({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(sinh(x))sinh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}cosh(x)sinh(x)sech^{2}(x)}{ln({x}^{x})(sinh(x))cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))cosh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-sinh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)*-2sech(x)sech(x)tanh(x)}{ln({x}^{x})cosh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)cosh(x)}{ln^{3}({x}^{x})({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)}{ln^{2}({x}^{x})(x)sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)*-cosh(x)cosh(x)}{ln^{2}({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)sinh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))ln(x)cosh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}cosh(x)}{(x)ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)*-2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))cosh(x)}{ln^{3}({x}^{x})({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)*-cosh(x)cosh(x)}{ln^{2}({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)sinh(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))cosh^{2}(x)}{ln({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))cosh^{2}(x)}{ln^{2}({x}^{x})({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}*-2cosh(x)cosh^{2}(x)}{ln({x}^{x})sinh^{3}(x)} - \frac{{cosh(x)}^{tanh(x)}*2cosh(x)sinh(x)}{ln({x}^{x})sinh^{2}(x)} + \frac{({cosh(x)}^{tanh(x)}((sech^{2}(x))ln(cosh(x)) + \frac{(tanh(x))(sinh(x))}{(cosh(x))}))}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}*-({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))}{ln^{2}({x}^{x})({x}^{x})}\\=&\frac{-6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{3}(x)}{ln^{3}({x}^{x})} - \frac{12log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{2}(x)}{ln^{3}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln^{2}(x)sech^{2}(x)}{ln^{3}({x}^{x})} - \frac{3{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{5{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{xln^{2}({x}^{x})} - \frac{6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln^{2}(x)}{ln^{3}({x}^{x})} - \frac{12log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{3}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln(x)sech^{2}(x)}{ln^{3}({x}^{x})} + \frac{3{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{4}(x)}{ln({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{xln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))ln(x)sech^{4}(x)}{ln^{2}({x}^{x})} + \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh^{2}(x)tanh^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(x)cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{4{cosh(x)}^{tanh(x)}ln^{2}(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))ln(x)sech^{2}(x)}{ln^{3}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{xln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))ln(x)sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh^{2}(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{4{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} + \frac{6{cosh(x)}^{tanh(x)}ln(cosh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} - \frac{3{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{6{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sinh(x)sech^{4}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh^{2}(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{6{cosh(x)}^{tanh(x)}tanh(x)}{ln^{2}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))tanh(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)tanh(x)sech^{2}(x)}{ln({x}^{x})sinh(x)} + \frac{log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{x^{2}ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{xln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{xln^{2}({x}^{x})cosh(x)} - \frac{3{cosh(x)}^{tanh(x)}cosh(x)}{xln^{2}({x}^{x})sinh(x)} - \frac{6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}ln(x)}{ln^{3}({x}^{x})} - \frac{6log_{{x}^{x}}^{{sinh(x)}^{{cosh(x)}^{tanh(x)}}}}{ln^{3}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{2}(x)}{ln^{3}({x}^{x})} - \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{3{cosh(x)}^{tanh(x)}sinh(x)tanh^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))sech^{4}(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} - \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})sinh(x)} + \frac{4{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln^{2}(x)sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))tanh(x)}{ln^{2}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln^{2}({x}^{x})cosh^{2}(x)} + \frac{6{cosh(x)}^{tanh(x)}cosh(x)}{ln^{3}({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}ln^{3}(cosh(x))ln(sinh(x))sech^{6}(x)}{ln({x}^{x})} + \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)sech^{4}(x)}{ln({x}^{x})cosh(x)} + \frac{3{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))cosh(x)sech^{4}(x)}{ln({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln^{2}(cosh(x))sech^{4}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln^{2}(cosh(x))sech^{4}(x)}{ln^{2}({x}^{x})} - \frac{4{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))tanh(x)sech^{4}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(x)tanh(x)}{ln^{2}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln^{2}(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{xln^{2}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})} + \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{6{cosh(x)}^{tanh(x)}sech^{2}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{3{cosh(x)}^{tanh(x)}ln(x)ln(cosh(x))cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))cosh^{2}(x)sech^{2}(x)}{ln({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln^{2}({x}^{x})cosh^{2}(x)} + \frac{3{cosh(x)}^{tanh(x)}ln(cosh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(x)ln(sinh(x))sech^{4}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))sech^{2}(x)}{xln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))ln(cosh(x))sech^{2}(x)}{ln^{3}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))ln(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))sech^{4}(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh^{2}(x)tanh^{2}(x)}{ln^{2}({x}^{x})cosh^{2}(x)} + \frac{4{cosh(x)}^{tanh(x)}ln(sinh(x))ln(cosh(x))tanh^{2}(x)sech^{2}(x)}{ln({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln^{2}(cosh(x))ln(sinh(x))tanh(x)sech^{4}(x)}{ln({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{3}(x)tanh^{3}(x)}{ln({x}^{x})cosh^{3}(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sech^{4}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))tanh(x)sech^{2}(x)}{ln({x}^{x})} + \frac{3{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh^{2}(x)}{ln({x}^{x})cosh(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh^{2}(x)tanh^{2}(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{3{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{3}(x)tanh^{2}(x)}{ln({x}^{x})cosh^{3}(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh(x)tanh(x)}{ln({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{3}(x)tanh(x)}{ln({x}^{x})cosh^{3}(x)} - \frac{4{cosh(x)}^{tanh(x)}ln(x)tanh(x)}{ln^{2}({x}^{x})} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(x)ln(sinh(x))sinh(x)tanh(x)sech^{2}(x)}{ln^{2}({x}^{x})cosh(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh(x)tanh(x)}{ln^{3}({x}^{x})cosh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)tanh(x)}{ln^{2}({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(sinh(x))ln(x)sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} + \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{2{cosh(x)}^{tanh(x)}cosh(x)}{ln({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))sinh^{2}(x)tanh(x)}{ln^{2}({x}^{x})cosh^{2}(x)} - \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sinh^{2}(x)sech^{2}(x)}{ln({x}^{x})cosh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}ln^{2}(x)cosh(x)}{ln^{3}({x}^{x})sinh(x)} + \frac{8{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{3}({x}^{x})sinh(x)} + \frac{4{cosh(x)}^{tanh(x)}ln(x)cosh(x)}{ln^{3}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))tanh(x)}{ln^{2}({x}^{x})} + \frac{3{cosh(x)}^{tanh(x)}cosh^{2}(x)}{ln^{2}({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)ln(sinh(x))tanh(x)}{ln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}ln(sinh(x))sech^{2}(x)}{ln({x}^{x})} + \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(sinh(x))sinh(x)sech^{4}(x)}{ln({x}^{x})cosh(x)} + \frac{4{cosh(x)}^{tanh(x)}ln^{2}(x)cosh(x)}{ln^{3}({x}^{x})sinh(x)} + \frac{{cosh(x)}^{tanh(x)}ln(x)cosh^{2}(x)}{ln^{2}({x}^{x})sinh^{2}(x)} + \frac{2{cosh(x)}^{tanh(x)}ln(x)cosh^{2}(x)}{ln^{2}({x}^{x})sinh^{2}(x)} - \frac{{cosh(x)}^{tanh(x)}ln(cosh(x))ln(x)cosh(x)sech^{2}(x)}{ln^{2}({x}^{x})sinh(x)} - \frac{{cosh(x)}^{tanh(x)}ln(x)}{ln^{2}({x}^{x})} - \frac{2{cosh(x)}^{tanh(x)}ln(x)}{ln^{2}({x}^{x})} + \frac{2{cosh(x)}^{tanh(x)}cosh^{3}(x)}{ln({x}^{x})sinh^{3}(x)} - \frac{3{cosh(x)}^{tanh(x)}}{ln^{2}({x}^{x})}\\ \end{split}\end{equation} \]



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