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

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