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。
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。
本次共计算 1 个题目：每一题对 x 求 9 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{x}^{(1 - ln(x))} 关于 x 的 9 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {x}^{(-ln(x) + 1)}\\\\ &\color{blue}{函数的 9 阶导数：} \\=&\frac{-21628{x}^{(-ln(x) + 1)}ln^{2}(x)ln(x)}{x^{9}} + \frac{55251{x}^{(-ln(x) + 1)}ln^{3}(x)ln(x)}{x^{9}} + \frac{60291{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{2}(x)}{x^{9}} + \frac{26964{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{3}(x)}{x^{9}} - \frac{119736{x}^{(-ln(x) + 1)}ln(x)ln(x)}{x^{9}} + \frac{19824{x}^{(-ln(x) + 1)}ln^{4}(x)ln(x)}{x^{9}} + \frac{33306{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{2}(x)}{x^{9}} - \frac{1260{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{3}(x)}{x^{9}} - \frac{29840{x}^{(-ln(x) + 1)}ln(x)ln^{2}(x)}{x^{9}} - \frac{29840{x}^{(-ln(x) + 1)}ln(x)ln^{2}(x)}{x^{9}} + \frac{33306{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{2}(x)}{x^{9}} - \frac{21628{x}^{(-ln(x) + 1)}ln^{2}(x)ln(x)}{x^{9}} + \frac{315{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{4}(x)}{x^{9}} + \frac{25137{x}^{(-ln(x) + 1)}ln(x)ln^{3}(x)}{x^{9}} + \frac{60291{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{2}(x)}{x^{9}} - \frac{2205{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{2}(x)}{x^{9}} - \frac{2205{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{2}(x)}{x^{9}} - \frac{4480{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{3}(x)}{x^{9}} + \frac{55251{x}^{(-ln(x) + 1)}ln^{3}(x)ln(x)}{x^{9}} + \frac{25137{x}^{(-ln(x) + 1)}ln(x)ln^{3}(x)}{x^{9}} + \frac{26964{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{3}(x)}{x^{9}} - \frac{1386{x}^{(-ln(x) + 1)}ln^{5}(x)ln(x)}{x^{9}} - \frac{119736{x}^{(-ln(x) + 1)}ln(x)ln(x)}{x^{9}} - \frac{1260{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{3}(x)}{x^{9}} - \frac{3290{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{4}(x)}{x^{9}} - \frac{4480{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{3}(x)}{x^{9}} + \frac{10311{x}^{(-ln(x) + 1)}ln(x)ln^{4}(x)}{x^{9}} - \frac{3402{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{2}(x)}{x^{9}} - \frac{945{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{3}(x)}{x^{9}} + \frac{19824{x}^{(-ln(x) + 1)}ln^{4}(x)ln(x)}{x^{9}} + \frac{10311{x}^{(-ln(x) + 1)}ln(x)ln^{4}(x)}{x^{9}} - \frac{1260{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{5}(x)}{x^{9}} + \frac{315{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{4}(x)}{x^{9}} - \frac{3402{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{2}(x)}{x^{9}} - \frac{945{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{4}(x)}{x^{9}} - \frac{567{x}^{(-ln(x) + 1)}ln^{6}(x)ln^{2}(x)}{x^{9}} - \frac{56{x}^{(-ln(x) + 1)}ln^{6}(x)ln^{3}(x)}{x^{9}} - \frac{1386{x}^{(-ln(x) + 1)}ln^{5}(x)ln(x)}{x^{9}} - \frac{567{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{5}(x)}{x^{9}} - \frac{3290{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{4}(x)}{x^{9}} - \frac{945{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{4}(x)}{x^{9}} - \frac{70{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{4}(x)}{x^{9}} - \frac{28{x}^{(-ln(x) + 1)}ln^{7}(x)ln^{2}(x)}{x^{9}} + \frac{630{x}^{(-ln(x) + 1)}ln(x)ln^{5}(x)}{x^{9}} - \frac{8{x}^{(-ln(x) + 1)}ln^{8}(x)ln(x)}{x^{9}} - \frac{1372{x}^{(-ln(x) + 1)}ln^{6}(x)ln(x)}{x^{9}} - \frac{189{x}^{(-ln(x) + 1)}ln^{7}(x)ln(x)}{x^{9}} - \frac{56{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{5}(x)}{x^{9}} - \frac{1260{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{5}(x)}{x^{9}} - \frac{1372{x}^{(-ln(x) + 1)}ln^{6}(x)ln(x)}{x^{9}} - \frac{28{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{6}(x)}{x^{9}} - \frac{189{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{6}(x)}{x^{9}} + \frac{630{x}^{(-ln(x) + 1)}ln(x)ln^{5}(x)}{x^{9}} - \frac{945{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{3}(x)}{x^{9}} - \frac{8{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{7}(x)}{x^{9}} - \frac{567{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{5}(x)}{x^{9}} - \frac{56{x}^{(-ln(x) + 1)}ln^{4}(x)ln^{5}(x)}{x^{9}} - \frac{182{x}^{(-ln(x) + 1)}ln(x)ln^{6}(x)}{x^{9}} - \frac{567{x}^{(-ln(x) + 1)}ln^{6}(x)ln^{2}(x)}{x^{9}} - \frac{70{x}^{(-ln(x) + 1)}ln^{5}(x)ln^{4}(x)}{x^{9}} - \frac{182{x}^{(-ln(x) + 1)}ln(x)ln^{6}(x)}{x^{9}} - \frac{28{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{6}(x)}{x^{9}} - \frac{8{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{7}(x)}{x^{9}} - \frac{189{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{6}(x)}{x^{9}} - \frac{189{x}^{(-ln(x) + 1)}ln^{7}(x)ln(x)}{x^{9}} - \frac{27{x}^{(-ln(x) + 1)}ln(x)ln^{7}(x)}{x^{9}} - \frac{27{x}^{(-ln(x) + 1)}ln(x)ln^{7}(x)}{x^{9}} - \frac{56{x}^{(-ln(x) + 1)}ln^{6}(x)ln^{3}(x)}{x^{9}} - \frac{28{x}^{(-ln(x) + 1)}ln^{7}(x)ln^{2}(x)}{x^{9}} - \frac{8{x}^{(-ln(x) + 1)}ln^{8}(x)ln(x)}{x^{9}} - \frac{{x}^{(-ln(x) + 1)}ln(x)ln^{8}(x)}{x^{9}} - \frac{{x}^{(-ln(x) + 1)}ln(x)ln^{8}(x)}{x^{9}} - \frac{119736{x}^{(-ln(x) + 1)}ln^{2}(x)}{x^{9}} - \frac{17156{x}^{(-ln(x) + 1)}ln^{3}(x)}{x^{9}} - \frac{126{x}^{(-ln(x) + 1)}ln^{6}(x)}{x^{9}} - \frac{119736{x}^{(-ln(x) + 1)}ln^{2}(x)}{x^{9}} + \frac{6027{x}^{(-ln(x) + 1)}ln^{5}(x)}{x^{9}} + \frac{20097{x}^{(-ln(x) + 1)}ln^{4}(x)}{x^{9}} - \frac{222{x}^{(-ln(x) + 1)}ln^{7}(x)}{x^{9}} + \frac{20097{x}^{(-ln(x) + 1)}ln^{4}(x)}{x^{9}} - \frac{52044{x}^{(-ln(x) + 1)}ln(x)}{x^{9}} - \frac{222{x}^{(-ln(x) + 1)}ln^{7}(x)}{x^{9}} + \frac{6027{x}^{(-ln(x) + 1)}ln^{5}(x)}{x^{9}} - \frac{126{x}^{(-ln(x) + 1)}ln^{6}(x)}{x^{9}} - \frac{27{x}^{(-ln(x) + 1)}ln^{8}(x)}{x^{9}} - \frac{{x}^{(-ln(x) + 1)}ln^{9}(x)}{x^{9}} - \frac{52044{x}^{(-ln(x) + 1)}ln(x)}{x^{9}} - \frac{27{x}^{(-ln(x) + 1)}ln^{8}(x)}{x^{9}} - \frac{17156{x}^{(-ln(x) + 1)}ln^{3}(x)}{x^{9}} - \frac{{x}^{(-ln(x) + 1)}ln^{9}(x)}{x^{9}} + \frac{58788{x}^{(-ln(x) + 1)}}{x^{9}}\\ \end{split}\end{equation} \]
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