本次共计算 1 个题目:每一题对 x 求 1 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数sin(sqrt(cos(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x))))))))))) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin(sqrt(cos(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))))\right)}{dx}\\=&\frac{cos(sqrt(cos(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))))*-sin(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))sec^{2}(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))(\frac{cos(sqrt(cos(sqrt(tan(x)))))*-sin(sqrt(tan(x)))sec^{2}(x)(1)*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}}{(tan(x))^{\frac{1}{2}}(cos(sqrt(tan(x))))^{\frac{1}{2}}(sin(sqrt(cos(sqrt(tan(x))))))^{\frac{1}{2}}})*\frac{1}{2}*\frac{1}{2}}{(tan(sqrt(sin(sqrt(cos(sqrt(tan(x))))))))^{\frac{1}{2}}(cos(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x))))))))))^{\frac{1}{2}}}\\=&\frac{sin(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))sin(sqrt(tan(x)))cos(sqrt(cos(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))))cos(sqrt(cos(sqrt(tan(x)))))sec^{2}(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))sec^{2}(x)}{32sin^{\frac{1}{2}}(sqrt(cos(sqrt(tan(x)))))cos^{\frac{1}{2}}(sqrt(tan(x)))cos^{\frac{1}{2}}(sqrt(tan(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))))tan^{\frac{1}{2}}(sqrt(sin(sqrt(cos(sqrt(tan(x)))))))tan^{\frac{1}{2}}(x)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!