There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (1 - 3x){(1 + 2x)}^{-1}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - \frac{3x}{(2x + 1)} + \frac{1}{(2x + 1)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - \frac{3x}{(2x + 1)} + \frac{1}{(2x + 1)}\right)}{dx}\\=& - 3(\frac{-(2 + 0)}{(2x + 1)^{2}})x - \frac{3}{(2x + 1)} + (\frac{-(2 + 0)}{(2x + 1)^{2}})\\=&\frac{6x}{(2x + 1)^{2}} - \frac{2}{(2x + 1)^{2}} - \frac{3}{(2x + 1)}\\ \end{split}\end{equation} \]

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