There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{2}(-3 + {x}^{2})){\frac{1}{(-1 + {x}^{2})}}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{4}}{(x^{2} - 1)^{2}} - \frac{3x^{2}}{(x^{2} - 1)^{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x^{4}}{(x^{2} - 1)^{2}} - \frac{3x^{2}}{(x^{2} - 1)^{2}}\right)}{dx}\\=&(\frac{-2(2x + 0)}{(x^{2} - 1)^{3}})x^{4} + \frac{4x^{3}}{(x^{2} - 1)^{2}} - 3(\frac{-2(2x + 0)}{(x^{2} - 1)^{3}})x^{2} - \frac{3*2x}{(x^{2} - 1)^{2}}\\=&\frac{-4x^{5}}{(x^{2} - 1)^{3}} + \frac{4x^{3}}{(x^{2} - 1)^{2}} + \frac{12x^{3}}{(x^{2} - 1)^{3}} - \frac{6x}{(x^{2} - 1)^{2}}\\ \end{split}\end{equation} \]

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