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。
\[ \begin{equation}\begin{split}【1/1】求函数arctan(cos(sin({x}^{2}))) + sin({x}^{x}) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = arctan(cos(sin(x^{2}))) + sin({x}^{x})\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( arctan(cos(sin(x^{2}))) + sin({x}^{x})\right)}{dx}\\=&(\frac{(-sin(sin(x^{2}))cos(x^{2})*2x)}{(1 + (cos(sin(x^{2})))^{2})}) + cos({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))\\=&\frac{-2xsin(sin(x^{2}))cos(x^{2})}{(cos^{2}(sin(x^{2})) + 1)} + {x}^{x}ln(x)cos({x}^{x}) + {x}^{x}cos({x}^{x})\\ \end{split}\end{equation} \]

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