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。\[ \begin{equation}\begin{split}【1/1】求函数lg(arctan(arccos(arcsin(sin(tan(cot(cosh(sinh(sqrt(x)))))))))) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( lg(arctan(arccos(arcsin(sin(tan(cot(cosh(sinh(sqrt(x))))))))))\right)}{dx}\\=&\frac{(\frac{((\frac{-((\frac{(cos(tan(cot(cosh(sinh(sqrt(x))))))sec^{2}(cot(cosh(sinh(sqrt(x)))))(\frac{-csc^{2}(cosh(sinh(sqrt(x))))sinh(sinh(sqrt(x)))cosh(sqrt(x))*\frac{1}{2}}{(x)^{\frac{1}{2}}}))}{((1 - (sin(tan(cot(cosh(sinh(sqrt(x)))))))^{2})^{\frac{1}{2}})}))}{((1 - (arcsin(sin(tan(cot(cosh(sinh(sqrt(x))))))))^{2})^{\frac{1}{2}})}))}{(1 + (arccos(arcsin(sin(tan(cot(cosh(sinh(sqrt(x)))))))))^{2})})}{ln{10}(arctan(arccos(arcsin(sin(tan(cot(cosh(sinh(sqrt(x))))))))))}\\=&\frac{cos(tan(cot(cosh(sinh(sqrt(x))))))sec^{2}(cot(cosh(sinh(sqrt(x)))))csc^{2}(cosh(sinh(sqrt(x))))sinh(sinh(sqrt(x)))cosh(sqrt(x))}{2(-arcsin^{2}(sin(tan(cot(cosh(sinh(sqrt(x))))))) + 1)^{\frac{1}{2}}(-sin^{2}(tan(cot(cosh(sinh(sqrt(x)))))) + 1)^{\frac{1}{2}}(arccos^{2}(arcsin(sin(tan(cot(cosh(sinh(sqrt(x)))))))) + 1)x^{\frac{1}{2}}ln{10}arctan(arccos(arcsin(sin(tan(cot(cosh(sinh(sqrt(x)))))))))}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!