本次共计算 1 个题目:每一题对 x 求 2 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数sin(sin(sin(2)x)) 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin(sin(xsin(2)))\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin(sin(xsin(2)))\right)}{dx}\\=&cos(sin(xsin(2)))cos(xsin(2))(sin(2) + xcos(2)*0)\\=&sin(2)cos(sin(xsin(2)))cos(xsin(2))\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( sin(2)cos(sin(xsin(2)))cos(xsin(2))\right)}{dx}\\=&cos(2)*0cos(sin(xsin(2)))cos(xsin(2)) + sin(2)*-sin(sin(xsin(2)))cos(xsin(2))(sin(2) + xcos(2)*0)cos(xsin(2)) + sin(2)cos(sin(xsin(2)))*-sin(xsin(2))(sin(2) + xcos(2)*0)\\=&-sin^{2}(2)sin(sin(xsin(2)))cos^{2}(xsin(2)) - sin(xsin(2))sin^{2}(2)cos(sin(xsin(2)))\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!