本次共计算 1 个题目:每一题对 x 求 13 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数{x}^{2}(R + sqrt({R}^{2} - {x}^{2})) 关于 x 的 13 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = Rx^{2} + x^{2}sqrt(R^{2} - x^{2})\\\\ &\color{blue}{函数的 13 阶导数:} \\=& - \frac{2630046694275x^{11}}{(R^{2} - x^{2})^{\frac{21}{2}}} - \frac{2513125865250x^{9}}{(R^{2} - x^{2})^{\frac{19}{2}}} - \frac{1317434493375x^{7}}{(R^{2} - x^{2})^{\frac{17}{2}}} - \frac{365229364500x^{5}}{(R^{2} - x^{2})^{\frac{15}{2}}} - \frac{46356034725x^{3}}{(R^{2} - x^{2})^{\frac{13}{2}}} - \frac{1787836050x}{(R^{2} - x^{2})^{\frac{11}{2}}} - \frac{1429928299800x^{13}}{(R^{2} - x^{2})^{\frac{23}{2}}} - \frac{316234143225x^{15}}{(R^{2} - x^{2})^{\frac{25}{2}}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!