There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{(100 - x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {x}^{(-x + 100)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{(-x + 100)}\right)}{dx}\\=&({x}^{(-x + 100)}((-1 + 0)ln(x) + \frac{(-x + 100)(1)}{(x)}))\\=&-{x}^{(-x + 100)}ln(x) - {x}^{(-x + 100)} + \frac{100{x}^{(-x + 100)}}{x}\\ \end{split}\end{equation} \]

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