本次共计算 1 个题目：每一题对 x 求 2 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{x}^{2}sin(x)tan(x) 关于 x 的 2 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = x^{2}sin(x)tan(x)\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( x^{2}sin(x)tan(x)\right)}{dx}\\=&2xsin(x)tan(x) + x^{2}cos(x)tan(x) + x^{2}sin(x)sec^{2}(x)(1)\\=&2xsin(x)tan(x) + x^{2}cos(x)tan(x) + x^{2}sin(x)sec^{2}(x)\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( 2xsin(x)tan(x) + x^{2}cos(x)tan(x) + x^{2}sin(x)sec^{2}(x)\right)}{dx}\\=&2sin(x)tan(x) + 2xcos(x)tan(x) + 2xsin(x)sec^{2}(x)(1) + 2xcos(x)tan(x) + x^{2}*-sin(x)tan(x) + x^{2}cos(x)sec^{2}(x)(1) + 2xsin(x)sec^{2}(x) + x^{2}cos(x)sec^{2}(x) + x^{2}sin(x)*2sec^{2}(x)tan(x)\\=&2sin(x)tan(x) + 4xcos(x)tan(x) + 4xsin(x)sec^{2}(x) + 2x^{2}sin(x)tan(x)sec^{2}(x) + 2x^{2}cos(x)sec^{2}(x) - x^{2}sin(x)tan(x)\\ \end{split}\end{equation} \]

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