There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (-4{x}^{4}{\frac{1}{({x}^{4} - 2)}}^{2}) + (\frac{1}{({x}^{4} - 2)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-4x^{4}}{(x^{4} - 2)^{2}} + \frac{1}{(x^{4} - 2)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-4x^{4}}{(x^{4} - 2)^{2}} + \frac{1}{(x^{4} - 2)}\right)}{dx}\\=&-4(\frac{-2(4x^{3} + 0)}{(x^{4} - 2)^{3}})x^{4} - \frac{4*4x^{3}}{(x^{4} - 2)^{2}} + (\frac{-(4x^{3} + 0)}{(x^{4} - 2)^{2}})\\=&\frac{32x^{7}}{(x^{4} - 2)^{3}} - \frac{20x^{3}}{(x^{4} - 2)^{2}}\\ \end{split}\end{equation} \]

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