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