There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{ln(11 - x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {x}^{ln(-x + 11)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{ln(-x + 11)}\right)}{dx}\\=&({x}^{ln(-x + 11)}((\frac{(-1 + 0)}{(-x + 11)})ln(x) + \frac{(ln(-x + 11))(1)}{(x)}))\\=&\frac{-{x}^{ln(-x + 11)}ln(x)}{(-x + 11)} + \frac{{x}^{ln(-x + 11)}ln(-x + 11)}{x}\\ \end{split}\end{equation} \]

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