There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 0.0002{x}^{6} - 0.0563{x}^{5} + 6.5981x{9}^{4} - 408.83{x}^{3} + 14127{x}^{2} - 258195x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 43290.1341x - 0.0563x^{5} + 0.0002x^{6} - 408.83x^{3} + 14127x^{2} - 258195x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 43290.1341x - 0.0563x^{5} + 0.0002x^{6} - 408.83x^{3} + 14127x^{2} - 258195x\right)}{dx}\\=&43290.1341 - 0.0563*5x^{4} + 0.0002*6x^{5} - 408.83*3x^{2} + 14127*2x - 258195\\=& - 0.2815x^{4} + 0.0012x^{5} - 1226.49x^{2} + 28254x - 214904.8659\\ \end{split}\end{equation} \]

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