There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -2 * {10}^{-5}{x}^{5} + 0.0387{x}^{4} - 25.604{x}^{3} + 8472.8{x}^{2} - {10}^{6}x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -0.00002x^{5} - 1000000x - 25.604x^{3} + 8472.8x^{2} + 0.0387x^{4}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -0.00002x^{5} - 1000000x - 25.604x^{3} + 8472.8x^{2} + 0.0387x^{4}\right)}{dx}\\=&-0.00002*5x^{4} - 1000000 - 25.604*3x^{2} + 8472.8*2x + 0.0387*4x^{3}\\=&-0.0001x^{4} - 76.812x^{2} + 16945.6x + 0.1548x^{3} - 1000000\\ \end{split}\end{equation} \]

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