There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{100x}{(20 + 10x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{100x}{(10x + 20)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{100x}{(10x + 20)}\right)}{dx}\\=&100(\frac{-(10 + 0)}{(10x + 20)^{2}})x + \frac{100}{(10x + 20)}\\=&\frac{-1000x}{(10x + 20)^{2}} + \frac{100}{(10x + 20)}\\ \end{split}\end{equation} \]

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