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

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