本次共计算 1 个题目:每一题对 x 求 6 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数tan(sin(x)) 关于 x 的 6 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ \\ &\color{blue}{函数的 6 阶导数:} \\=&-sin(x)sec^{2}(sin(x)) + 272cos^{6}(x)tan(sin(x))sec^{6}(sin(x)) + 32cos^{2}(x)tan(sin(x))sec^{2}(sin(x)) - 30sin^{2}(x)tan(sin(x))sec^{2}(sin(x)) + 150sin(x)cos^{2}(x)sec^{4}(sin(x)) + 300sin(x)cos^{2}(x)tan^{2}(sin(x))sec^{2}(sin(x)) - 320cos^{4}(x)tan(sin(x))sec^{4}(sin(x)) + 720sin^{2}(x)cos^{2}(x)tan(sin(x))sec^{4}(sin(x)) - 240sin(x)cos^{4}(x)sec^{6}(sin(x)) - 1320sin(x)cos^{4}(x)tan^{2}(sin(x))sec^{4}(sin(x)) + 416cos^{6}(x)tan^{3}(sin(x))sec^{4}(sin(x)) - 160cos^{4}(x)tan^{3}(sin(x))sec^{2}(sin(x)) - 30sin^{3}(x)sec^{4}(sin(x)) - 60sin^{3}(x)tan^{2}(sin(x))sec^{2}(sin(x)) + 360sin^{2}(x)cos^{2}(x)tan^{3}(sin(x))sec^{2}(sin(x)) - 240sin(x)cos^{4}(x)tan^{4}(sin(x))sec^{2}(sin(x)) + 32cos^{6}(x)tan^{5}(sin(x))sec^{2}(sin(x))\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!