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

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