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

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