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

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