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。\[ \begin{equation}\begin{split}【1/1】求函数(cos(5{x}^{2}) - 1){\frac{1}{x}}^{3} 关于 x 的 9 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{cos(5x^{2})}{x^{3}} - \frac{1}{x^{3}}\\\\ &\color{blue}{函数的 9 阶导数:} \\=&\frac{-19958400cos(5x^{2})}{x^{12}} - \frac{97977600sin(5x^{2})}{x^{10}} + \frac{240408000cos(5x^{2})}{x^{8}} + \frac{393120000sin(5x^{2})}{x^{6}} - \frac{481950000cos(5x^{2})}{x^{4}} - \frac{472500000sin(5x^{2})}{x^{2}} + 378000000cos(5x^{2}) + 540000000x^{2}sin(5x^{2}) + 900000000x^{4}cos(5x^{2}) - 1000000000x^{6}sin(5x^{2}) + \frac{19958400}{x^{12}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!