There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({(2x - 1)}^{4})({(5{x}^{2} - 1)}^{-3})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{16x^{4}}{(5x^{2} - 1)^{3}} - \frac{32x^{3}}{(5x^{2} - 1)^{3}} + \frac{24x^{2}}{(5x^{2} - 1)^{3}} - \frac{8x}{(5x^{2} - 1)^{3}} + \frac{1}{(5x^{2} - 1)^{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{16x^{4}}{(5x^{2} - 1)^{3}} - \frac{32x^{3}}{(5x^{2} - 1)^{3}} + \frac{24x^{2}}{(5x^{2} - 1)^{3}} - \frac{8x}{(5x^{2} - 1)^{3}} + \frac{1}{(5x^{2} - 1)^{3}}\right)}{dx}\\=&16(\frac{-3(5*2x + 0)}{(5x^{2} - 1)^{4}})x^{4} + \frac{16*4x^{3}}{(5x^{2} - 1)^{3}} - 32(\frac{-3(5*2x + 0)}{(5x^{2} - 1)^{4}})x^{3} - \frac{32*3x^{2}}{(5x^{2} - 1)^{3}} + 24(\frac{-3(5*2x + 0)}{(5x^{2} - 1)^{4}})x^{2} + \frac{24*2x}{(5x^{2} - 1)^{3}} - 8(\frac{-3(5*2x + 0)}{(5x^{2} - 1)^{4}})x - \frac{8}{(5x^{2} - 1)^{3}} + (\frac{-3(5*2x + 0)}{(5x^{2} - 1)^{4}})\\=&\frac{-480x^{5}}{(5x^{2} - 1)^{4}} + \frac{64x^{3}}{(5x^{2} - 1)^{3}} + \frac{960x^{4}}{(5x^{2} - 1)^{4}} - \frac{96x^{2}}{(5x^{2} - 1)^{3}} - \frac{720x^{3}}{(5x^{2} - 1)^{4}} + \frac{48x}{(5x^{2} - 1)^{3}} + \frac{240x^{2}}{(5x^{2} - 1)^{4}} - \frac{30x}{(5x^{2} - 1)^{4}} - \frac{8}{(5x^{2} - 1)^{3}}\\ \end{split}\end{equation} \]

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