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

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