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