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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(X) + sin(sin(X)) + sin(sin(sin(X))) + 0 + sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(X)))))))))))) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin(X) + sin(sin(X)) + sin(sin(sin(X))) + sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(X))))))))))))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(X) + sin(sin(X)) + sin(sin(sin(X))) + sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(X))))))))))))\right)}{dx}\\=&cos(X)*0 + cos(sin(X))cos(X)*0 + cos(sin(sin(X)))cos(sin(X))cos(X)*0 + cos(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(X))))))))))))cos(sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(X)))))))))))cos(sin(sin(sin(sin(sin(sin(sin(sin(sin(X))))))))))cos(sin(sin(sin(sin(sin(sin(sin(sin(X)))))))))cos(sin(sin(sin(sin(sin(sin(sin(X))))))))cos(sin(sin(sin(sin(sin(sin(X)))))))cos(sin(sin(sin(sin(sin(X))))))cos(sin(sin(sin(sin(X)))))cos(sin(sin(sin(X))))cos(sin(sin(X)))cos(sin(X))cos(X)*0\\=&0\\ \end{split}\end{equation} \]

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