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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{x}{sqrt({a}^{2} - {x}^{2})} 关于 x 的 2 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{x}{sqrt(a^{2} - x^{2})}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{x}{sqrt(a^{2} - x^{2})}\right)}{dx}\\=&\frac{1}{sqrt(a^{2} - x^{2})} + \frac{x*-(0 - 2x)*\frac{1}{2}}{(a^{2} - x^{2})(a^{2} - x^{2})^{\frac{1}{2}}}\\=&\frac{1}{sqrt(a^{2} - x^{2})} + \frac{x^{2}}{(a^{2} - x^{2})^{\frac{3}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{1}{sqrt(a^{2} - x^{2})} + \frac{x^{2}}{(a^{2} - x^{2})^{\frac{3}{2}}}\right)}{dx}\\=&\frac{-(0 - 2x)*\frac{1}{2}}{(a^{2} - x^{2})(a^{2} - x^{2})^{\frac{1}{2}}} + (\frac{\frac{-3}{2}(0 - 2x)}{(a^{2} - x^{2})^{\frac{5}{2}}})x^{2} + \frac{2x}{(a^{2} - x^{2})^{\frac{3}{2}}}\\=&\frac{3x}{(a^{2} - x^{2})^{\frac{3}{2}}} + \frac{3x^{3}}{(a^{2} - x^{2})^{\frac{5}{2}}}\\ \end{split}\end{equation} \]

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