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

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