There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -0.333{x}^{2} + 1.5x + \frac{585.885x}{(0.01x + 4.17)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{585.885x}{(0.01x + 4.17)} + 1.5x - 0.333x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{585.885x}{(0.01x + 4.17)} + 1.5x - 0.333x^{2}\right)}{dx}\\=&585.885(\frac{-(0.01 + 0)}{(0.01x + 4.17)^{2}})x + \frac{585.885}{(0.01x + 4.17)} + 1.5 - 0.333*2x\\=&\frac{-5.85885x}{(0.01x + 4.17)(0.01x + 4.17)} + \frac{585.885}{(0.01x + 4.17)} - 0.666x + 1.5\\ \end{split}\end{equation} \]

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