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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 4 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{sin(x)}{2*3cos(x)lg(x)*6tan(x)ln(x)*9} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{\frac{1}{324}sin(x)}{ln(x)lg(x)cos(x)tan(x)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{\frac{1}{324}sin(x)}{ln(x)lg(x)cos(x)tan(x)}\right)}{dx}\\=&\frac{\frac{1}{324}*-sin(x)}{ln^{2}(x)(x)lg(x)cos(x)tan(x)} + \frac{\frac{1}{324}*-sin(x)}{ln(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} + \frac{\frac{1}{324}cos(x)}{ln(x)lg(x)cos(x)tan(x)} + \frac{\frac{1}{324}sin(x)sin(x)}{ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{\frac{1}{324}sin(x)*-sec^{2}(x)(1)}{ln(x)lg(x)cos(x)tan^{2}(x)}\\=&\frac{-sin(x)}{324xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{324xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{1}{324ln(x)lg(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{324ln(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin^{2}(x)}{324ln(x)lg(x)cos^{2}(x)tan(x)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-sin(x)}{324xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{324xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{1}{324ln(x)lg(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{324ln(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin^{2}(x)}{324ln(x)lg(x)cos^{2}(x)tan(x)}\right)}{dx}\\=&\frac{--sin(x)}{324x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{-2sin(x)}{324xln^{3}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)}{324xln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{324xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{324xln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{324xln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{324xln^{2}{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-sin(x)}{324xln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{324xln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{324xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{324xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{324xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-1}{324ln^{2}(x)(x)lg(x)tan(x)} + \frac{-1}{324ln(x)lg^{2}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{324ln(x)lg(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{324ln^{2}(x)(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{324ln(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{324ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{324ln(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{324ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{324ln(x)lg(x)cos(x)tan^{2}(x)} + \frac{-sin^{2}(x)}{324ln^{2}(x)(x)lg(x)cos^{2}(x)tan(x)} + \frac{-sin^{2}(x)}{324ln(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{324ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{324ln(x)lg(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{324ln(x)lg(x)cos^{2}(x)tan^{2}(x)}\\=&\frac{sin(x)sec^{2}(x)}{162xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin(x)}{162x^{2}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sec^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{1}{162xln^{2}(x)lg(x)tan(x)} - \frac{sin^{2}(x)}{162xln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{324x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)}{324x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{1}{324xln(x)ln{10}lg^{2}(x)tan(x)} - \frac{sin^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{324x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{1}{324xln{10}ln(x)lg^{2}(x)tan(x)} - \frac{sec^{2}(x)}{162ln(x)lg(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{sin(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{162ln(x)lg(x)cos^{3}(x)tan(x)}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{sin(x)sec^{2}(x)}{162xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin(x)}{162x^{2}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sec^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{1}{162xln^{2}(x)lg(x)tan(x)} - \frac{sin^{2}(x)}{162xln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{324x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)}{324x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{1}{324xln(x)ln{10}lg^{2}(x)tan(x)} - \frac{sin^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{324x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{1}{324xln{10}ln(x)lg^{2}(x)tan(x)} - \frac{sec^{2}(x)}{162ln(x)lg(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{sin(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{162ln(x)lg(x)cos^{3}(x)tan(x)}\right)}{dx}\\=&\frac{-sin(x)sec^{2}(x)}{162x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)sec^{2}(x)}{162xln^{3}(x)(x)lg(x)cos(x)tan^{2}(x)} + \frac{-sin(x)sec^{2}(x)}{162xln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} + \frac{cos(x)sec^{2}(x)}{162xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin(x)sin(x)sec^{2}(x)}{162xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{162xln^{2}(x)lg(x)cos(x)tan^{3}(x)} + \frac{sin(x)*2sec^{2}(x)tan(x)}{162xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)}{162x^{3}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{-3sin(x)}{162x^{2}ln^{4}(x)(x)lg(x)cos(x)tan(x)} + \frac{-sin(x)}{162x^{2}ln^{3}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{162x^{2}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{162x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{162x^{2}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} + \frac{-sin(x)sec^{2}(x)}{162x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-0sin(x)sec^{2}(x)}{162xln^{2}{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-sin(x)sec^{2}(x)}{162xln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)sec^{2}(x)}{162xln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan^{2}(x)} + \frac{cos(x)sec^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{sin(x)sin(x)sec^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{162xln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} + \frac{sin(x)*2sec^{2}(x)tan(x)}{162xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-1}{162x^{2}ln^{2}(x)lg(x)tan(x)} - \frac{-2}{162xln^{3}(x)(x)lg(x)tan(x)} - \frac{-1}{162xln^{2}(x)lg^{2}(x)ln{10}(x)tan(x)} - \frac{-sec^{2}(x)(1)}{162xln^{2}(x)lg(x)tan^{2}(x)} - \frac{-sin^{2}(x)}{162x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{-2sin^{2}(x)}{162xln^{3}(x)(x)lg(x)cos^{2}(x)tan(x)} - \frac{-sin^{2}(x)}{162xln^{2}(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} - \frac{2sin(x)cos(x)}{162xln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin^{2}(x)*2sin(x)}{162xln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{sin^{2}(x)*-sec^{2}(x)(1)}{162xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-2sin(x)}{324x^{3}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln^{3}(x)(x)lg(x)cos(x)tan(x)} + \frac{-sin(x)}{324x^{2}ln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{324x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{324x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{324x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)}{324x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{-0sin(x)}{324x^{2}ln^{2}{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{-sin(x)}{324x^{2}ln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{324x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)}{324x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln^{3}(x)(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{-0sin(x)}{324x^{2}ln^{2}(x)ln^{2}{10}lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln^{2}(x)ln{10}lg^{3}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{324x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{324x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{324x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-2sin(x)}{162x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{-sin(x)}{162x^{2}ln^{2}(x)(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{-2*0sin(x)}{162x^{2}ln(x)ln^{3}{10}lg^{3}(x)cos(x)tan(x)} + \frac{-3sin(x)}{162x^{2}ln(x)ln^{2}{10}lg^{4}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{-1}{324x^{2}ln(x)ln{10}lg^{2}(x)tan(x)} - \frac{-1}{324xln^{2}(x)(x)ln{10}lg^{2}(x)tan(x)} - \frac{-0}{324xln(x)ln^{2}{10}lg^{2}(x)tan(x)} - \frac{-2}{324xln(x)ln{10}lg^{3}(x)ln{10}(x)tan(x)} - \frac{-sec^{2}(x)(1)}{324xln(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{-sin^{2}(x)}{162x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{-0sin^{2}(x)}{162xln^{2}{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{-sin^{2}(x)}{162xln{10}ln^{2}(x)(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{-2sin^{2}(x)}{162xln{10}ln(x)lg^{3}(x)ln{10}(x)cos^{2}(x)tan(x)} - \frac{2sin(x)cos(x)}{162xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin^{2}(x)*2sin(x)}{162xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{sin^{2}(x)*-sec^{2}(x)(1)}{162xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{-2sin(x)}{324x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} + \frac{-0sin(x)}{324x^{2}ln^{2}{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln{10}ln^{3}(x)(x)lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)}{324x^{2}ln{10}ln^{2}(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{324x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{324x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{324x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-1}{324x^{2}ln{10}ln(x)lg^{2}(x)tan(x)} - \frac{-0}{324xln^{2}{10}ln(x)lg^{2}(x)tan(x)} - \frac{-1}{324xln{10}ln^{2}(x)(x)lg^{2}(x)tan(x)} - \frac{-2}{324xln{10}ln(x)lg^{3}(x)ln{10}(x)tan(x)} - \frac{-sec^{2}(x)(1)}{324xln{10}ln(x)lg^{2}(x)tan^{2}(x)} - \frac{-sec^{2}(x)}{162ln^{2}(x)(x)lg(x)tan^{2}(x)} - \frac{-sec^{2}(x)}{162ln(x)lg^{2}(x)ln{10}(x)tan^{2}(x)} - \frac{-2sec^{2}(x)(1)sec^{2}(x)}{162ln(x)lg(x)tan^{3}(x)} - \frac{2sec^{2}(x)tan(x)}{162ln(x)lg(x)tan^{2}(x)} - \frac{-sin^{2}(x)sec^{2}(x)}{162ln^{2}(x)(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{-sin^{2}(x)sec^{2}(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan^{2}(x)} - \frac{2sin(x)cos(x)sec^{2}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin^{2}(x)*2sin(x)sec^{2}(x)}{162ln(x)lg(x)cos^{3}(x)tan^{2}(x)} - \frac{sin^{2}(x)*-2sec^{2}(x)(1)sec^{2}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{3}(x)} - \frac{sin^{2}(x)*2sec^{2}(x)tan(x)}{162ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-sin(x)sec^{4}(x)}{162ln^{2}(x)(x)lg(x)cos(x)tan^{3}(x)} + \frac{-sin(x)sec^{4}(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos(x)tan^{3}(x)} + \frac{cos(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{3}(x)} + \frac{sin(x)sin(x)sec^{4}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{3}(x)} + \frac{sin(x)*-3sec^{2}(x)(1)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{4}(x)} + \frac{sin(x)*4sec^{4}(x)tan(x)}{162ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{-sin(x)sec^{2}(x)}{162ln^{2}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)sec^{2}(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)sec^{2}(x)}{162ln(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{162ln(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)sec^{2}(x)}{162ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{-sin(x)}{162ln^{2}(x)(x)lg(x)cos(x)tan(x)} + \frac{-sin(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)}{162ln(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sin(x)}{162ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)}{162ln(x)lg(x)cos(x)tan^{2}(x)} + \frac{-sin^{3}(x)}{162ln^{2}(x)(x)lg(x)cos^{3}(x)tan(x)} + \frac{-sin^{3}(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos^{3}(x)tan(x)} + \frac{3sin^{2}(x)cos(x)}{162ln(x)lg(x)cos^{3}(x)tan(x)} + \frac{sin^{3}(x)*3sin(x)}{162ln(x)lg(x)cos^{4}(x)tan(x)} + \frac{sin^{3}(x)*-sec^{2}(x)(1)}{162ln(x)lg(x)cos^{3}(x)tan^{2}(x)}\\=& - \frac{sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{sec^{2}(x)}{54xln^{2}(x)lg(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)sec^{4}(x)}{54xln^{2}(x)lg(x)cos(x)tan^{3}(x)} + \frac{sin(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{3}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{4}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} + \frac{1}{54x^{2}ln^{3}(x)lg(x)tan(x)} + \frac{sin^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sec^{2}(x)}{108xln(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{sin(x)sec^{4}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} + \frac{sin(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} + \frac{1}{108x^{2}ln^{2}(x)lg(x)tan(x)} + \frac{sec^{2}(x)}{108xln{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{sin^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin^{3}(x)}{54xln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{sin(x)}{162x^{3}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{1}{162x^{2}ln(x)ln{10}lg^{2}(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan(x)} + \frac{1}{81x^{2}ln^{2}{10}ln(x)lg^{3}(x)tan(x)} + \frac{sin^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{1}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)tan(x)} + \frac{1}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)tan(x)} - \frac{sin(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin^{3}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} + \frac{1}{324x^{2}ln{10}ln(x)lg^{2}(x)tan(x)} + \frac{1}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)tan(x)} + \frac{sec^{4}(x)}{54ln(x)lg(x)tan^{3}(x)} - \frac{sec^{2}(x)}{54ln(x)lg(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{54ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin^{3}(x)sec^{2}(x)}{54ln(x)lg(x)cos^{3}(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{4}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{3}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{54ln(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)sec^{6}(x)}{54ln(x)lg(x)cos(x)tan^{4}(x)} + \frac{5sin(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{81ln(x)lg(x)cos(x)} + \frac{1}{162ln(x)lg(x)tan(x)} + \frac{2sin^{2}(x)}{81ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{4}(x)}{54ln(x)lg(x)cos^{4}(x)tan(x)}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( - \frac{sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{sec^{2}(x)}{54xln^{2}(x)lg(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)sec^{4}(x)}{54xln^{2}(x)lg(x)cos(x)tan^{3}(x)} + \frac{sin(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{3}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{4}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} + \frac{1}{54x^{2}ln^{3}(x)lg(x)tan(x)} + \frac{sin^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sec^{2}(x)}{108xln(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{sin(x)sec^{4}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} + \frac{sin(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} + \frac{1}{108x^{2}ln^{2}(x)lg(x)tan(x)} + \frac{sec^{2}(x)}{108xln{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{sin^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin^{3}(x)}{54xln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{sin(x)}{162x^{3}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{1}{162x^{2}ln(x)ln{10}lg^{2}(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} + \frac{sin^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{sin(x)}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan(x)} + \frac{1}{81x^{2}ln^{2}{10}ln(x)lg^{3}(x)tan(x)} + \frac{sin^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{1}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)tan(x)} + \frac{1}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)tan(x)} - \frac{sin(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin^{3}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} + \frac{1}{324x^{2}ln{10}ln(x)lg^{2}(x)tan(x)} + \frac{1}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)tan(x)} + \frac{sec^{4}(x)}{54ln(x)lg(x)tan^{3}(x)} - \frac{sec^{2}(x)}{54ln(x)lg(x)tan(x)} - \frac{sin(x)sec^{2}(x)}{54ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin^{3}(x)sec^{2}(x)}{54ln(x)lg(x)cos^{3}(x)tan^{2}(x)} + \frac{sin^{2}(x)sec^{4}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{3}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{54ln(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)sec^{6}(x)}{54ln(x)lg(x)cos(x)tan^{4}(x)} + \frac{5sin(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sec^{2}(x)}{81ln(x)lg(x)cos(x)} + \frac{1}{162ln(x)lg(x)tan(x)} + \frac{2sin^{2}(x)}{81ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{4}(x)}{54ln(x)lg(x)cos^{4}(x)tan(x)}\right)}{dx}\\=& - \frac{-2sin(x)sec^{2}(x)}{108x^{3}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln^{3}(x)(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{108x^{2}ln^{2}(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{108x^{2}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{54x^{3}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)sec^{2}(x)}{54x^{2}ln^{4}(x)(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{54x^{2}ln^{3}(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54x^{2}ln^{3}(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{54x^{2}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-0sin(x)sec^{2}(x)}{108x^{2}ln^{2}{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{3}(x)(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{3}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{54x^{2}ln^{2}(x)lg(x)tan^{2}(x)} + \frac{-2sec^{2}(x)}{54xln^{3}(x)(x)lg(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)tan^{2}(x)} + \frac{-2sec^{2}(x)(1)sec^{2}(x)}{54xln^{2}(x)lg(x)tan^{3}(x)} + \frac{2sec^{2}(x)tan(x)}{54xln^{2}(x)lg(x)tan^{2}(x)} + \frac{-sin^{2}(x)sec^{2}(x)}{54x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)sec^{2}(x)}{54xln^{3}(x)(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-sin^{2}(x)sec^{2}(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan^{2}(x)} + \frac{2sin(x)cos(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{sin^{2}(x)*2sin(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{3}(x)tan^{2}(x)} + \frac{sin^{2}(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{3}(x)} + \frac{sin^{2}(x)*2sec^{2}(x)tan(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{-sin(x)sec^{4}(x)}{54x^{2}ln^{2}(x)lg(x)cos(x)tan^{3}(x)} - \frac{-2sin(x)sec^{4}(x)}{54xln^{3}(x)(x)lg(x)cos(x)tan^{3}(x)} - \frac{-sin(x)sec^{4}(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan^{3}(x)} - \frac{cos(x)sec^{4}(x)}{54xln^{2}(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)sin(x)sec^{4}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan^{3}(x)} - \frac{sin(x)*-3sec^{2}(x)(1)sec^{4}(x)}{54xln^{2}(x)lg(x)cos(x)tan^{4}(x)} - \frac{sin(x)*4sec^{4}(x)tan(x)}{54xln^{2}(x)lg(x)cos(x)tan^{3}(x)} + \frac{-sin(x)sec^{2}(x)}{54x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{-2sin(x)sec^{2}(x)}{54xln^{3}(x)(x)lg(x)cos(x)tan(x)} + \frac{-sin(x)sec^{2}(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sin(x)sec^{2}(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)sec^{2}(x)}{54xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin(x)*2sec^{2}(x)tan(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{-3sin(x)}{54x^{4}ln^{3}(x)lg(x)cos(x)tan(x)} - \frac{-3sin(x)}{54x^{3}ln^{4}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)}{54x^{3}ln^{3}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54x^{3}ln^{3}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54x^{3}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54x^{3}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{54x^{4}ln^{4}(x)lg(x)cos(x)tan(x)} - \frac{-4sin(x)}{54x^{3}ln^{5}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)}{54x^{3}ln^{4}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54x^{3}ln^{4}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54x^{3}ln^{4}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54x^{3}ln^{4}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln^{3}(x)(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-0sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln^{2}{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{3}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-2}{54x^{3}ln^{3}(x)lg(x)tan(x)} + \frac{-3}{54x^{2}ln^{4}(x)(x)lg(x)tan(x)} + \frac{-1}{54x^{2}ln^{3}(x)lg^{2}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{54x^{2}ln^{3}(x)lg(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{54x^{3}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} + \frac{-3sin^{2}(x)}{54x^{2}ln^{4}(x)(x)lg(x)cos^{2}(x)tan(x)} + \frac{-sin^{2}(x)}{54x^{2}ln^{3}(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{54x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{54x^{2}ln^{3}(x)lg(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{54x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-0sin(x)sec^{2}(x)}{108x^{2}ln^{2}{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{108x^{2}ln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-2sin(x)sec^{2}(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{54x^{2}ln^{2}(x)(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{-2*0sin(x)sec^{2}(x)}{54x^{2}ln(x)ln^{3}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{4}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} + \frac{-sin^{2}(x)sec^{2}(x)}{54x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{-0sin^{2}(x)sec^{2}(x)}{54xln^{2}{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{-sin^{2}(x)sec^{2}(x)}{54xln{10}ln^{2}(x)(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)sec^{2}(x)}{54xln{10}ln(x)lg^{3}(x)ln{10}(x)cos^{2}(x)tan^{2}(x)} + \frac{2sin(x)cos(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sin^{2}(x)*2sin(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan^{2}(x)} + \frac{sin^{2}(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{3}(x)} + \frac{sin^{2}(x)*2sec^{2}(x)tan(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{108x^{2}ln(x)ln{10}lg^{2}(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{108xln^{2}(x)(x)ln{10}lg^{2}(x)tan^{2}(x)} + \frac{-0sec^{2}(x)}{108xln(x)ln^{2}{10}lg^{2}(x)tan^{2}(x)} + \frac{-2sec^{2}(x)}{108xln(x)ln{10}lg^{3}(x)ln{10}(x)tan^{2}(x)} + \frac{-2sec^{2}(x)(1)sec^{2}(x)}{108xln(x)ln{10}lg^{2}(x)tan^{3}(x)} + \frac{2sec^{2}(x)tan(x)}{108xln(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{-sin(x)sec^{4}(x)}{54x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{-0sin(x)sec^{4}(x)}{54xln^{2}{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{-sin(x)sec^{4}(x)}{54xln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{-2sin(x)sec^{4}(x)}{54xln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan^{3}(x)} - \frac{cos(x)sec^{4}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)sin(x)sec^{4}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{3}(x)} - \frac{sin(x)*-3sec^{2}(x)(1)sec^{4}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{4}(x)} - \frac{sin(x)*4sec^{4}(x)tan(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} + \frac{-sin(x)sec^{2}(x)}{54x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{-0sin(x)sec^{2}(x)}{54xln^{2}{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{-sin(x)sec^{2}(x)}{54xln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan(x)} + \frac{-2sin(x)sec^{2}(x)}{54xln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} + \frac{cos(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)sin(x)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)*-sec^{2}(x)(1)sec^{2}(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{sin(x)*2sec^{2}(x)tan(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-3sin(x)}{162x^{4}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{162x^{3}ln^{2}{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} - \frac{-3sin(x)}{162x^{3}ln{10}ln^{4}(x)(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{162x^{3}ln{10}ln^{3}(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{-2}{108x^{3}ln^{2}(x)lg(x)tan(x)} + \frac{-2}{108x^{2}ln^{3}(x)(x)lg(x)tan(x)} + \frac{-1}{108x^{2}ln^{2}(x)lg^{2}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{108x^{2}ln^{2}(x)lg(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{-0sec^{2}(x)}{108xln^{2}{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{-sec^{2}(x)}{108xln{10}ln^{2}(x)(x)lg^{2}(x)tan^{2}(x)} + \frac{-2sec^{2}(x)}{108xln{10}ln(x)lg^{3}(x)ln{10}(x)tan^{2}(x)} + \frac{-2sec^{2}(x)(1)sec^{2}(x)}{108xln{10}ln(x)lg^{2}(x)tan^{3}(x)} + \frac{2sec^{2}(x)tan(x)}{108xln{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{108x^{3}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln^{3}(x)(x)lg(x)cos^{2}(x)tan(x)} + \frac{-sin^{2}(x)}{108x^{2}ln^{2}(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{108x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{108x^{2}ln^{2}(x)lg(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{108x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-0sin^{2}(x)}{108x^{2}ln^{2}{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln{10}ln^{3}(x)(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln{10}ln^{2}(x)lg^{3}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{-sin(x)}{54x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{-2sin(x)}{54xln^{3}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54xln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54xln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54xln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin^{3}(x)}{54x^{2}ln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{-2sin^{3}(x)}{54xln^{3}(x)(x)lg(x)cos^{3}(x)tan(x)} - \frac{-sin^{3}(x)}{54xln^{2}(x)lg^{2}(x)ln{10}(x)cos^{3}(x)tan(x)} - \frac{3sin^{2}(x)cos(x)}{54xln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{sin^{3}(x)*3sin(x)}{54xln^{2}(x)lg(x)cos^{4}(x)tan(x)} - \frac{sin^{3}(x)*-sec^{2}(x)(1)}{54xln^{2}(x)lg(x)cos^{3}(x)tan^{2}(x)} - \frac{-3sin(x)}{162x^{4}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{-2sin(x)}{162x^{3}ln^{3}(x)(x)lg(x)cos(x)tan(x)} - \frac{-sin(x)}{162x^{3}ln^{2}(x)lg^{2}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{162x^{3}ln^{2}(x)lg(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{162x^{3}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{162x^{3}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{108x^{4}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{108x^{3}ln^{2}{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{108x^{3}ln{10}ln^{3}(x)(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{108x^{3}ln{10}ln^{2}(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{162x^{4}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{162x^{3}ln^{2}{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-sin(x)}{162x^{3}ln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{162x^{3}ln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{162x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{162x^{3}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{162x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{108x^{4}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{108x^{3}ln^{3}(x)(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{108x^{3}ln^{2}(x)ln^{2}{10}lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{108x^{3}ln^{2}(x)ln{10}lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{54x^{4}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-sin(x)}{54x^{3}ln^{2}(x)(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-2*0sin(x)}{54x^{3}ln(x)ln^{3}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-3sin(x)}{54x^{3}ln(x)ln^{2}{10}lg^{4}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} + \frac{-2}{162x^{3}ln(x)ln{10}lg^{2}(x)tan(x)} + \frac{-1}{162x^{2}ln^{2}(x)(x)ln{10}lg^{2}(x)tan(x)} + \frac{-0}{162x^{2}ln(x)ln^{2}{10}lg^{2}(x)tan(x)} + \frac{-2}{162x^{2}ln(x)ln{10}lg^{3}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{162x^{2}ln(x)ln{10}lg^{2}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{108x^{3}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-0sin^{2}(x)}{108x^{2}ln^{2}{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-sin^{2}(x)}{108x^{2}ln{10}ln^{2}(x)(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln{10}ln(x)lg^{3}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{108x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{-3sin(x)}{81x^{4}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{-3sin(x)}{81x^{3}ln^{4}(x)(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{81x^{3}ln^{3}(x)ln^{2}{10}lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{81x^{3}ln^{3}(x)ln{10}lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{162x^{4}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} - \frac{-2*0sin(x)}{162x^{3}ln^{3}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} - \frac{-2sin(x)}{162x^{3}ln^{2}{10}ln^{3}(x)(x)lg^{3}(x)cos(x)tan(x)} - \frac{-3sin(x)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{4}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln^{3}(x)(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-0sin^{2}(x)}{108x^{2}ln^{2}(x)ln^{2}{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{-2sin^{2}(x)}{108x^{2}ln^{2}(x)ln{10}lg^{3}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{-3sin(x)}{81x^{4}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-2sin(x)}{81x^{3}ln^{3}(x)(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-2*0sin(x)}{81x^{3}ln^{2}(x)ln^{3}{10}lg^{3}(x)cos(x)tan(x)} - \frac{-3sin(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{4}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{-3sin(x)}{54x^{4}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan(x)} - \frac{-3*0sin(x)}{54x^{3}ln^{4}{10}ln(x)lg^{4}(x)cos(x)tan(x)} - \frac{-sin(x)}{54x^{3}ln^{3}{10}ln^{2}(x)(x)lg^{4}(x)cos(x)tan(x)} - \frac{-4sin(x)}{54x^{3}ln^{3}{10}ln(x)lg^{5}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan^{2}(x)} + \frac{-2}{81x^{3}ln^{2}{10}ln(x)lg^{3}(x)tan(x)} + \frac{-2*0}{81x^{2}ln^{3}{10}ln(x)lg^{3}(x)tan(x)} + \frac{-1}{81x^{2}ln^{2}{10}ln^{2}(x)(x)lg^{3}(x)tan(x)} + \frac{-3}{81x^{2}ln^{2}{10}ln(x)lg^{4}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{81x^{2}ln^{2}{10}ln(x)lg^{3}(x)tan^{2}(x)} + \frac{-2sin^{2}(x)}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{-sin^{2}(x)}{54x^{2}ln^{2}(x)(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{-2*0sin^{2}(x)}{54x^{2}ln(x)ln^{3}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{-3sin^{2}(x)}{54x^{2}ln(x)ln^{2}{10}lg^{4}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)cos(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{sin^{2}(x)*2sin(x)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{3}(x)tan(x)} + \frac{sin^{2}(x)*-sec^{2}(x)(1)}{54x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan^{2}(x)} + \frac{-2}{108x^{3}ln^{2}(x)ln{10}lg^{2}(x)tan(x)} + \frac{-2}{108x^{2}ln^{3}(x)(x)ln{10}lg^{2}(x)tan(x)} + \frac{-0}{108x^{2}ln^{2}(x)ln^{2}{10}lg^{2}(x)tan(x)} + \frac{-2}{108x^{2}ln^{2}(x)ln{10}lg^{3}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{108x^{2}ln^{2}(x)ln{10}lg^{2}(x)tan^{2}(x)} + \frac{-2}{108x^{3}ln{10}ln^{2}(x)lg^{2}(x)tan(x)} + \frac{-0}{108x^{2}ln^{2}{10}ln^{2}(x)lg^{2}(x)tan(x)} + \frac{-2}{108x^{2}ln{10}ln^{3}(x)(x)lg^{2}(x)tan(x)} + \frac{-2}{108x^{2}ln{10}ln^{2}(x)lg^{3}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{108x^{2}ln{10}ln^{2}(x)lg^{2}(x)tan^{2}(x)} - \frac{-sin(x)}{54x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-0sin(x)}{54xln^{2}{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{-sin(x)}{54xln{10}ln^{2}(x)(x)lg^{2}(x)cos(x)tan(x)} - \frac{-2sin(x)}{54xln{10}ln(x)lg^{3}(x)ln{10}(x)cos(x)tan(x)} - \frac{cos(x)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan(x)} - \frac{sin(x)sin(x)}{54xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sin(x)*-sec^{2}(x)(1)}{54xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{-sin^{3}(x)}{54x^{2}ln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{-0sin^{3}(x)}{54xln^{2}{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{-sin^{3}(x)}{54xln{10}ln^{2}(x)(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{-2sin^{3}(x)}{54xln{10}ln(x)lg^{3}(x)ln{10}(x)cos^{3}(x)tan(x)} - \frac{3sin^{2}(x)cos(x)}{54xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{sin^{3}(x)*3sin(x)}{54xln{10}ln(x)lg^{2}(x)cos^{4}(x)tan(x)} - \frac{sin^{3}(x)*-sec^{2}(x)(1)}{54xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan^{2}(x)} + \frac{-2}{324x^{3}ln{10}ln(x)lg^{2}(x)tan(x)} + \frac{-0}{324x^{2}ln^{2}{10}ln(x)lg^{2}(x)tan(x)} + \frac{-1}{324x^{2}ln{10}ln^{2}(x)(x)lg^{2}(x)tan(x)} + \frac{-2}{324x^{2}ln{10}ln(x)lg^{3}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{324x^{2}ln{10}ln(x)lg^{2}(x)tan^{2}(x)} + \frac{-2}{162x^{3}ln(x)ln^{2}{10}lg^{3}(x)tan(x)} + \frac{-1}{162x^{2}ln^{2}(x)(x)ln^{2}{10}lg^{3}(x)tan(x)} + \frac{-2*0}{162x^{2}ln(x)ln^{3}{10}lg^{3}(x)tan(x)} + \frac{-3}{162x^{2}ln(x)ln^{2}{10}lg^{4}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{162x^{2}ln(x)ln^{2}{10}lg^{3}(x)tan^{2}(x)} + \frac{-sec^{4}(x)}{54ln^{2}(x)(x)lg(x)tan^{3}(x)} + \frac{-sec^{4}(x)}{54ln(x)lg^{2}(x)ln{10}(x)tan^{3}(x)} + \frac{-3sec^{2}(x)(1)sec^{4}(x)}{54ln(x)lg(x)tan^{4}(x)} + \frac{4sec^{4}(x)tan(x)}{54ln(x)lg(x)tan^{3}(x)} - \frac{-sec^{2}(x)}{54ln^{2}(x)(x)lg(x)tan(x)} - \frac{-sec^{2}(x)}{54ln(x)lg^{2}(x)ln{10}(x)tan(x)} - \frac{-sec^{2}(x)(1)sec^{2}(x)}{54ln(x)lg(x)tan^{2}(x)} - \frac{2sec^{2}(x)tan(x)}{54ln(x)lg(x)tan(x)} - \frac{-sin(x)sec^{2}(x)}{54ln^{2}(x)(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} - \frac{cos(x)sec^{2}(x)}{54ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{54ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin^{3}(x)sec^{2}(x)}{54ln^{2}(x)(x)lg(x)cos^{3}(x)tan^{2}(x)} - \frac{-sin^{3}(x)sec^{2}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos^{3}(x)tan^{2}(x)} - \frac{3sin^{2}(x)cos(x)sec^{2}(x)}{54ln(x)lg(x)cos^{3}(x)tan^{2}(x)} - \frac{sin^{3}(x)*3sin(x)sec^{2}(x)}{54ln(x)lg(x)cos^{4}(x)tan^{2}(x)} - \frac{sin^{3}(x)*-2sec^{2}(x)(1)sec^{2}(x)}{54ln(x)lg(x)cos^{3}(x)tan^{3}(x)} - \frac{sin^{3}(x)*2sec^{2}(x)tan(x)}{54ln(x)lg(x)cos^{3}(x)tan^{2}(x)} + \frac{-sin^{2}(x)sec^{4}(x)}{54ln^{2}(x)(x)lg(x)cos^{2}(x)tan^{3}(x)} + \frac{-sin^{2}(x)sec^{4}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan^{3}(x)} + \frac{2sin(x)cos(x)sec^{4}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{3}(x)} + \frac{sin^{2}(x)*2sin(x)sec^{4}(x)}{54ln(x)lg(x)cos^{3}(x)tan^{3}(x)} + \frac{sin^{2}(x)*-3sec^{2}(x)(1)sec^{4}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{4}(x)} + \frac{sin^{2}(x)*4sec^{4}(x)tan(x)}{54ln(x)lg(x)cos^{2}(x)tan^{3}(x)} - \frac{-sin^{2}(x)sec^{2}(x)}{54ln^{2}(x)(x)lg(x)cos^{2}(x)tan(x)} - \frac{-sin^{2}(x)sec^{2}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} - \frac{2sin(x)cos(x)sec^{2}(x)}{54ln(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin^{2}(x)*2sin(x)sec^{2}(x)}{54ln(x)lg(x)cos^{3}(x)tan(x)} - \frac{sin^{2}(x)*-sec^{2}(x)(1)sec^{2}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{sin^{2}(x)*2sec^{2}(x)tan(x)}{54ln(x)lg(x)cos^{2}(x)tan(x)} - \frac{-sin(x)sec^{6}(x)}{54ln^{2}(x)(x)lg(x)cos(x)tan^{4}(x)} - \frac{-sin(x)sec^{6}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos(x)tan^{4}(x)} - \frac{cos(x)sec^{6}(x)}{54ln(x)lg(x)cos(x)tan^{4}(x)} - \frac{sin(x)sin(x)sec^{6}(x)}{54ln(x)lg(x)cos^{2}(x)tan^{4}(x)} - \frac{sin(x)*-4sec^{2}(x)(1)sec^{6}(x)}{54ln(x)lg(x)cos(x)tan^{5}(x)} - \frac{sin(x)*6sec^{6}(x)tan(x)}{54ln(x)lg(x)cos(x)tan^{4}(x)} + \frac{5*-sin(x)sec^{4}(x)}{162ln^{2}(x)(x)lg(x)cos(x)tan^{2}(x)} + \frac{5*-sin(x)sec^{4}(x)}{162ln(x)lg^{2}(x)ln{10}(x)cos(x)tan^{2}(x)} + \frac{5cos(x)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{2}(x)} + \frac{5sin(x)sin(x)sec^{4}(x)}{162ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{5sin(x)*-2sec^{2}(x)(1)sec^{4}(x)}{162ln(x)lg(x)cos(x)tan^{3}(x)} + \frac{5sin(x)*4sec^{4}(x)tan(x)}{162ln(x)lg(x)cos(x)tan^{2}(x)} - \frac{-sin(x)sec^{2}(x)}{81ln^{2}(x)(x)lg(x)cos(x)} - \frac{-sin(x)sec^{2}(x)}{81ln(x)lg^{2}(x)ln{10}(x)cos(x)} - \frac{cos(x)sec^{2}(x)}{81ln(x)lg(x)cos(x)} - \frac{sin(x)sin(x)sec^{2}(x)}{81ln(x)lg(x)cos^{2}(x)} - \frac{sin(x)*2sec^{2}(x)tan(x)}{81ln(x)lg(x)cos(x)} + \frac{-1}{162ln^{2}(x)(x)lg(x)tan(x)} + \frac{-1}{162ln(x)lg^{2}(x)ln{10}(x)tan(x)} + \frac{-sec^{2}(x)(1)}{162ln(x)lg(x)tan^{2}(x)} + \frac{2*-sin^{2}(x)}{81ln^{2}(x)(x)lg(x)cos^{2}(x)tan(x)} + \frac{2*-sin^{2}(x)}{81ln(x)lg^{2}(x)ln{10}(x)cos^{2}(x)tan(x)} + \frac{2*2sin(x)cos(x)}{81ln(x)lg(x)cos^{2}(x)tan(x)} + \frac{2sin^{2}(x)*2sin(x)}{81ln(x)lg(x)cos^{3}(x)tan(x)} + \frac{2sin^{2}(x)*-sec^{2}(x)(1)}{81ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{-sin^{4}(x)}{54ln^{2}(x)(x)lg(x)cos^{4}(x)tan(x)} + \frac{-sin^{4}(x)}{54ln(x)lg^{2}(x)ln{10}(x)cos^{4}(x)tan(x)} + \frac{4sin^{3}(x)cos(x)}{54ln(x)lg(x)cos^{4}(x)tan(x)} + \frac{sin^{4}(x)*4sin(x)}{54ln(x)lg(x)cos^{5}(x)tan(x)} + \frac{sin^{4}(x)*-sec^{2}(x)(1)}{54ln(x)lg(x)cos^{4}(x)tan^{2}(x)}\\=&\frac{2sin(x)sec^{2}(x)}{81x^{3}ln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{2sin(x)sec^{2}(x)}{27x^{3}ln^{3}(x)lg(x)cos(x)tan^{2}(x)} + \frac{sin(x)sec^{2}(x)}{27x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{sec^{2}(x)}{27x^{2}ln^{2}(x)lg(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{27x^{2}ln^{2}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)sec^{4}(x)}{27x^{2}ln^{2}(x)lg(x)cos(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{27x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{2sin(x)sec^{2}(x)}{27x^{3}ln^{4}(x)lg(x)cos(x)tan^{2}(x)} + \frac{2sin(x)sec^{2}(x)}{81x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{2sec^{2}(x)}{27x^{2}ln^{3}(x)lg(x)tan^{2}(x)} - \frac{2sin^{2}(x)sec^{2}(x)}{27x^{2}ln^{3}(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{2sin(x)sec^{4}(x)}{27x^{2}ln^{3}(x)lg(x)cos(x)tan^{3}(x)} - \frac{2sin(x)sec^{2}(x)}{27x^{2}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{4sin(x)sec^{2}(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} + \frac{4sin(x)sec^{2}(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{sec^{2}(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)sec^{4}(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} - \frac{sec^{2}(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)tan^{2}(x)} - \frac{2sec^{4}(x)}{27xln^{2}(x)lg(x)tan^{3}(x)} + \frac{2sec^{2}(x)}{27xln^{2}(x)lg(x)tan(x)} + \frac{2sin(x)sec^{2}(x)}{27xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{2sin^{3}(x)sec^{2}(x)}{27xln^{2}(x)lg(x)cos^{3}(x)tan^{2}(x)} - \frac{2sin^{2}(x)sec^{4}(x)}{27xln^{2}(x)lg(x)cos^{2}(x)tan^{3}(x)} + \frac{2sin^{2}(x)sec^{2}(x)}{27xln^{2}(x)lg(x)cos^{2}(x)tan(x)} + \frac{2sin(x)sec^{6}(x)}{27xln^{2}(x)lg(x)cos(x)tan^{4}(x)} - \frac{10sin(x)sec^{4}(x)}{81xln^{2}(x)lg(x)cos(x)tan^{2}(x)} + \frac{4sin(x)sec^{2}(x)}{81xln^{2}(x)lg(x)cos(x)} + \frac{11sin(x)}{162x^{4}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)}{9x^{4}ln^{4}(x)lg(x)cos(x)tan(x)} - \frac{2}{27x^{3}ln^{3}(x)lg(x)tan(x)} - \frac{2sin^{2}(x)}{27x^{3}ln^{3}(x)lg(x)cos^{2}(x)tan(x)} + \frac{2sin(x)}{27x^{4}ln^{5}(x)lg(x)cos(x)tan(x)} + \frac{sin(x)sec^{2}(x)}{27x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{2}(x)} - \frac{2}{27x^{3}ln^{4}(x)lg(x)tan(x)} - \frac{2sin^{2}(x)}{27x^{3}ln^{4}(x)lg(x)cos^{2}(x)tan(x)} + \frac{sin(x)sec^{4}(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan^{3}(x)} + \frac{2sin(x)sec^{2}(x)}{81x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan^{2}(x)} + \frac{sin(x)sec^{4}(x)}{27x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{2sin(x)}{27x^{2}ln^{3}(x)lg(x)cos(x)tan(x)} + \frac{2sin^{3}(x)}{27x^{2}ln^{3}(x)lg(x)cos^{3}(x)tan(x)} + \frac{2sin(x)sec^{2}(x)}{81x^{3}ln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{2sin(x)sec^{4}(x)}{27x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{3}(x)} + \frac{2sin(x)sec^{2}(x)}{27x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan^{2}(x)} - \frac{2sec^{2}(x)}{81x^{2}ln(x)ln{10}lg^{2}(x)tan^{2}(x)} - \frac{sin^{2}(x)sec^{2}(x)}{27x^{2}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{2}(x)} - \frac{2sin^{2}(x)sec^{4}(x)}{27xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan^{3}(x)} - \frac{sin(x)sec^{2}(x)}{27x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{2sin(x)sec^{6}(x)}{27xln{10}ln(x)lg^{2}(x)cos(x)tan^{4}(x)} + \frac{2sin(x)sec^{2}(x)}{27x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan^{2}(x)} - \frac{4sec^{2}(x)}{81x^{2}ln^{2}{10}ln(x)lg^{3}(x)tan^{2}(x)} - \frac{2sin^{2}(x)sec^{2}(x)}{27x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan^{2}(x)} - \frac{10sin(x)sec^{4}(x)}{81xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} - \frac{2sin(x)sec^{2}(x)}{27x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{2sin(x)sec^{2}(x)}{27xln{10}ln(x)lg^{2}(x)cos(x)tan^{2}(x)} + \frac{2sin^{3}(x)sec^{2}(x)}{27xln{10}ln(x)lg^{2}(x)cos^{3}(x)tan^{2}(x)} + \frac{2sin^{2}(x)sec^{2}(x)}{27xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{2sin^{2}(x)}{81x^{3}ln{10}ln^{3}(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{sec^{4}(x)}{27xln(x)ln{10}lg^{2}(x)tan^{3}(x)} - \frac{sec^{4}(x)}{27xln{10}ln(x)lg^{2}(x)tan^{3}(x)} + \frac{sec^{2}(x)}{27xln(x)ln{10}lg^{2}(x)tan(x)} + \frac{sin(x)}{54x^{4}ln{10}ln^{4}(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin(x)}{27x^{4}ln{10}ln^{3}(x)lg^{2}(x)cos(x)tan(x)} + \frac{4sin(x)sec^{2}(x)}{81xln{10}ln(x)lg^{2}(x)cos(x)} + \frac{sin(x)}{18x^{4}ln^{4}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{4sin(x)}{81x^{4}ln^{3}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{sec^{2}(x)}{81x^{2}ln{10}ln(x)lg^{2}(x)tan^{2}(x)} - \frac{2}{81x^{3}ln^{2}(x)lg(x)tan(x)} - \frac{2sec^{2}(x)}{81x^{2}ln(x)ln^{2}{10}lg^{3}(x)tan^{2}(x)} + \frac{sec^{2}(x)}{27xln{10}ln(x)lg^{2}(x)tan(x)} - \frac{5}{162x^{3}ln{10}ln^{3}(x)lg^{2}(x)tan(x)} - \frac{1}{27x^{3}ln{10}ln^{2}(x)lg^{2}(x)tan(x)} - \frac{7}{162x^{3}ln^{3}(x)ln{10}lg^{2}(x)tan(x)} - \frac{2sin^{2}(x)}{81x^{3}ln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{sin^{2}(x)}{27x^{3}ln{10}ln^{2}(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{27x^{2}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{27x^{2}ln^{2}(x)lg(x)cos^{3}(x)tan(x)} - \frac{4sin^{2}(x)}{81x^{3}ln^{3}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} - \frac{4sin^{2}(x)}{81x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{27x^{2}ln{10}ln^{2}(x)lg^{2}(x)cos^{3}(x)tan(x)} - \frac{2}{81xln^{2}(x)lg(x)tan(x)} - \frac{8sin^{2}(x)}{81xln^{2}(x)lg(x)cos^{2}(x)tan(x)} - \frac{2sin^{4}(x)}{27xln^{2}(x)lg(x)cos^{4}(x)tan(x)} + \frac{sin(x)}{54x^{4}ln^{2}(x)lg(x)cos(x)tan(x)} + \frac{11sin(x)}{324x^{4}ln{10}ln^{2}(x)lg^{2}(x)cos(x)tan(x)} + \frac{2sin(x)}{27x^{4}ln^{3}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{2sin(x)}{27x^{4}ln^{2}(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{1}{27x^{3}ln^{2}(x)ln{10}lg^{2}(x)tan(x)} + \frac{sin(x)}{54x^{4}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{11sin(x)}{324x^{4}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{11sin(x)}{162x^{4}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} - \frac{1}{54x^{3}ln(x)ln{10}lg^{2}(x)tan(x)} - \frac{2sin^{2}(x)}{81x^{3}ln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{27x^{4}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos(x)tan(x)} - \frac{sin^{2}(x)}{27x^{3}ln^{2}(x)ln{10}lg^{2}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{9x^{4}ln^{3}{10}ln(x)lg^{4}(x)cos(x)tan(x)} - \frac{1}{18x^{3}ln^{2}{10}ln(x)lg^{3}(x)tan(x)} - \frac{2sin^{2}(x)}{27x^{3}ln(x)ln^{2}{10}lg^{3}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{27x^{2}ln{10}ln(x)lg^{2}(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{27x^{2}ln{10}ln(x)lg^{2}(x)cos^{3}(x)tan(x)} + \frac{2sin(x)}{81x^{4}ln^{2}{10}ln^{3}(x)lg^{3}(x)cos(x)tan(x)} + \frac{sin(x)}{27x^{4}ln^{2}(x)ln^{3}{10}lg^{4}(x)cos(x)tan(x)} - \frac{7}{162x^{3}ln^{2}(x)ln^{2}{10}lg^{3}(x)tan(x)} - \frac{2sin^{2}(x)}{81x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)cos^{2}(x)tan(x)} + \frac{sin(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos(x)tan(x)} + \frac{sin^{3}(x)}{27x^{2}ln^{2}(x)ln{10}lg^{2}(x)cos^{3}(x)tan(x)} + \frac{sin(x)}{27x^{4}ln^{3}{10}ln^{2}(x)lg^{4}(x)cos(x)tan(x)} - \frac{5}{162x^{3}ln^{2}{10}ln^{2}(x)lg^{3}(x)tan(x)} + \frac{2sin(x)}{27x^{4}ln(x)ln^{4}{10}lg^{5}(x)cos(x)tan(x)} - \frac{1}{18x^{3}ln(x)ln^{3}{10}lg^{4}(x)tan(x)} - \frac{2sin^{2}(x)}{27x^{3}ln^{3}{10}ln(x)lg^{4}(x)cos^{2}(x)tan(x)} + \frac{2sin(x)}{27x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos(x)tan(x)} + \frac{2sin^{3}(x)}{27x^{2}ln(x)ln^{2}{10}lg^{3}(x)cos^{3}(x)tan(x)} - \frac{1}{54xln(x)ln{10}lg^{2}(x)tan(x)} - \frac{8sin^{2}(x)}{81xln{10}ln(x)lg^{2}(x)cos^{2}(x)tan(x)} - \frac{2sin^{4}(x)}{27xln{10}ln(x)lg^{2}(x)cos^{4}(x)tan(x)} - \frac{1}{162x^{3}ln{10}ln(x)lg^{2}(x)tan(x)} - \frac{1}{54x^{3}ln(x)ln^{2}{10}lg^{3}(x)tan(x)} - \frac{1}{54x^{3}ln^{3}{10}ln(x)lg^{4}(x)tan(x)} - \frac{2sec^{6}(x)}{27ln(x)lg(x)tan^{4}(x)} + \frac{10sec^{4}(x)}{81ln(x)lg(x)tan^{2}(x)} - \frac{4sec^{2}(x)}{81ln(x)lg(x)} - \frac{2sec^{2}(x)}{81ln(x)lg(x)tan^{2}(x)} - \frac{8sin^{2}(x)sec^{2}(x)}{81ln(x)lg(x)cos^{2}(x)tan^{2}(x)} + \frac{2sin(x)sec^{4}(x)}{27ln(x)lg(x)cos(x)tan^{3}(x)} - \frac{2sin(x)sec^{2}(x)}{27ln(x)lg(x)cos(x)tan(x)} - \frac{2sin^{4}(x)sec^{2}(x)}{27ln(x)lg(x)cos^{4}(x)tan^{2}(x)} + \frac{2sin^{3}(x)sec^{4}(x)}{27ln(x)lg(x)cos^{3}(x)tan^{3}(x)} - \frac{2sin^{3}(x)sec^{2}(x)}{27ln(x)lg(x)cos^{3}(x)tan(x)} - \frac{2sin^{2}(x)sec^{6}(x)}{27ln(x)lg(x)cos^{2}(x)tan^{4}(x)} + \frac{10sin^{2}(x)sec^{4}(x)}{81ln(x)lg(x)cos^{2}(x)tan^{2}(x)} - \frac{4sin^{2}(x)sec^{2}(x)}{81ln(x)lg(x)cos^{2}(x)} + \frac{2sin(x)sec^{8}(x)}{27ln(x)lg(x)cos(x)tan^{5}(x)} - \frac{14sin(x)sec^{6}(x)}{81ln(x)lg(x)cos(x)tan^{3}(x)} + \frac{10sin(x)sec^{4}(x)}{81ln(x)lg(x)cos(x)tan(x)} - \frac{2sin(x)tan(x)sec^{2}(x)}{81ln(x)lg(x)cos(x)} - \frac{1}{162xln{10}ln(x)lg^{2}(x)tan(x)} + \frac{4sin(x)}{81ln(x)lg(x)cos(x)tan(x)} + \frac{10sin^{3}(x)}{81ln(x)lg(x)cos^{3}(x)tan(x)} + \frac{2sin^{5}(x)}{27ln(x)lg(x)cos^{5}(x)tan(x)}\\ \end{split}\end{equation} \]



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