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

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