There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {(4 + {x}^{2})}^{\frac{-1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{(x^{2} + 4)^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{(x^{2} + 4)^{\frac{1}{2}}}\right)}{dx}\\=&(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 4)^{\frac{3}{2}}})\\=&\frac{-x}{(x^{2} + 4)^{\frac{3}{2}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-x}{(x^{2} + 4)^{\frac{3}{2}}}\right)}{dx}\\=&-(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 4)^{\frac{5}{2}}})x - \frac{1}{(x^{2} + 4)^{\frac{3}{2}}}\\=&\frac{3x^{2}}{(x^{2} + 4)^{\frac{5}{2}}} - \frac{1}{(x^{2} + 4)^{\frac{3}{2}}}\\ \end{split}\end{equation} \]

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