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

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