本次共计算 1 个题目:每一题对 x 求 5 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数{x}^{(1 - ln(x))} 关于 x 的 5 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {x}^{(-ln(x) + 1)}\\\\ &\color{blue}{函数的 5 阶导数:} \\=&\frac{26{x}^{(-ln(x) + 1)}ln^{2}(x)ln(x)}{x^{5}} - \frac{15{x}^{(-ln(x) + 1)}ln^{3}(x)ln(x)}{x^{5}} - \frac{15{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{2}(x)}{x^{5}} - \frac{4{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{3}(x)}{x^{5}} + \frac{65{x}^{(-ln(x) + 1)}ln(x)ln(x)}{x^{5}} - \frac{4{x}^{(-ln(x) + 1)}ln^{4}(x)ln(x)}{x^{5}} - \frac{6{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{2}(x)}{x^{5}} - \frac{4{x}^{(-ln(x) + 1)}ln^{4}(x)ln(x)}{x^{5}} + \frac{19{x}^{(-ln(x) + 1)}ln(x)ln^{2}(x)}{x^{5}} - \frac{6{x}^{(-ln(x) + 1)}ln^{3}(x)ln^{2}(x)}{x^{5}} + \frac{26{x}^{(-ln(x) + 1)}ln^{2}(x)ln(x)}{x^{5}} - \frac{15{x}^{(-ln(x) + 1)}ln^{3}(x)ln(x)}{x^{5}} + \frac{19{x}^{(-ln(x) + 1)}ln(x)ln^{2}(x)}{x^{5}} - \frac{4{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{3}(x)}{x^{5}} + \frac{65{x}^{(-ln(x) + 1)}ln(x)ln(x)}{x^{5}} - \frac{15{x}^{(-ln(x) + 1)}ln^{2}(x)ln^{2}(x)}{x^{5}} - \frac{5{x}^{(-ln(x) + 1)}ln(x)ln^{3}(x)}{x^{5}} - \frac{5{x}^{(-ln(x) + 1)}ln(x)ln^{3}(x)}{x^{5}} - \frac{{x}^{(-ln(x) + 1)}ln(x)ln^{4}(x)}{x^{5}} - \frac{{x}^{(-ln(x) + 1)}ln(x)ln^{4}(x)}{x^{5}} - \frac{24{x}^{(-ln(x) + 1)}ln(x)}{x^{5}} + \frac{65{x}^{(-ln(x) + 1)}ln^{2}(x)}{x^{5}} - \frac{5{x}^{(-ln(x) + 1)}ln^{4}(x)}{x^{5}} + \frac{15{x}^{(-ln(x) + 1)}ln^{3}(x)}{x^{5}} - \frac{{x}^{(-ln(x) + 1)}ln^{5}(x)}{x^{5}} + \frac{65{x}^{(-ln(x) + 1)}ln^{2}(x)}{x^{5}} + \frac{15{x}^{(-ln(x) + 1)}ln^{3}(x)}{x^{5}} - \frac{24{x}^{(-ln(x) + 1)}ln(x)}{x^{5}} - \frac{5{x}^{(-ln(x) + 1)}ln^{4}(x)}{x^{5}} - \frac{{x}^{(-ln(x) + 1)}ln^{5}(x)}{x^{5}} - \frac{70{x}^{(-ln(x) + 1)}}{x^{5}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!