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

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