There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(x + 1 - {a}^{x})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x{a}^{x} + x^{2} + x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - x{a}^{x} + x^{2} + x\right)}{dx}\\=& - {a}^{x} - x({a}^{x}((1)ln(a) + \frac{(x)(0)}{(a)})) + 2x + 1\\=& - {a}^{x} - x{a}^{x}ln(a) + 2x + 1\\ \end{split}\end{equation} \]

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