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。\[ \begin{equation}\begin{split}【1/1】求函数sin(cos(tan(x))) 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin(cos(tan(x)))\right)}{dx}\\=&cos(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)\\=&-sin(tan(x))cos(cos(tan(x)))sec^{2}(x)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( -sin(tan(x))cos(cos(tan(x)))sec^{2}(x)\right)}{dx}\\=&-cos(tan(x))sec^{2}(x)(1)cos(cos(tan(x)))sec^{2}(x) - sin(tan(x))*-sin(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)sec^{2}(x) - sin(tan(x))cos(cos(tan(x)))*2sec^{2}(x)tan(x)\\=&-cos(tan(x))cos(cos(tan(x)))sec^{4}(x) - sin^{2}(tan(x))sin(cos(tan(x)))sec^{4}(x) - 2sin(tan(x))cos(cos(tan(x)))tan(x)sec^{2}(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!