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。\[ \begin{equation}\begin{split}【1/1】求函数ln(cos(2)(x) + sin(x)) 关于 x 的 5 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = ln(xcos(2) + sin(x))\\\\ &\color{blue}{函数的 5 阶导数:} \\=&\frac{96cos^{4}(2)cos(x)}{(xcos(2) + sin(x))^{5}} + \frac{96cos^{2}(x)cos^{3}(2)}{(xcos(2) + sin(x))^{5}} + \frac{72sin(x)cos(x)cos^{2}(2)}{(xcos(2) + sin(x))^{4}} + \frac{144cos^{3}(2)cos^{2}(x)}{(xcos(2) + sin(x))^{5}} + \frac{144cos^{3}(x)cos^{2}(2)}{(xcos(2) + sin(x))^{5}} + \frac{108sin(x)cos^{2}(2)cos(x)}{(xcos(2) + sin(x))^{4}} + \frac{126sin(x)cos^{2}(x)cos(2)}{(xcos(2) + sin(x))^{4}} - \frac{32cos^{2}(x)cos(2)}{(xcos(2) + sin(x))^{3}} + \frac{54sin(x)cos(2)cos^{2}(x)}{(xcos(2) + sin(x))^{4}} + \frac{96cos^{2}(2)cos^{3}(x)}{(xcos(2) + sin(x))^{5}} + \frac{96cos^{4}(x)cos(2)}{(xcos(2) + sin(x))^{5}} + \frac{30sin^{2}(x)cos(2)}{(xcos(2) + sin(x))^{3}} + \frac{60sin(x)cos^{3}(2)}{(xcos(2) + sin(x))^{4}} - \frac{12cos(x)cos^{2}(2)}{(xcos(2) + sin(x))^{3}} - \frac{8cos^{2}(2)cos(x)}{(xcos(2) + sin(x))^{3}} - \frac{5sin(x)cos(2)}{(xcos(2) + sin(x))^{2}} + \frac{24cos(2)cos^{4}(x)}{(xcos(2) + sin(x))^{5}} - \frac{8cos(2)cos^{2}(x)}{(xcos(2) + sin(x))^{3}} + \frac{60sin(x)cos^{3}(x)}{(xcos(2) + sin(x))^{4}} + \frac{24cos(x)cos^{4}(2)}{(xcos(2) + sin(x))^{5}} + \frac{30sin^{2}(x)cos(x)}{(xcos(2) + sin(x))^{3}} + \frac{24cos^{5}(x)}{(xcos(2) + sin(x))^{5}} - \frac{15sin(x)cos(x)}{(xcos(2) + sin(x))^{2}} + \frac{24cos^{5}(2)}{(xcos(2) + sin(x))^{5}} - \frac{20cos^{3}(x)}{(xcos(2) + sin(x))^{3}} + \frac{cos(x)}{(xcos(2) + sin(x))}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!