There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2(1 + {e}^{x}){e}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2{e}^{x} + 2{e}^{(2(x))}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2{e}^{x} + 2{e}^{(2(x))}\right)}{dx}\\=&2({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})) + 2({e}^{(2(x))}((2(1))ln(e) + \frac{(2(x))(0)}{(e)}))\\=&2{e}^{x} + 4{e}^{(2x)}\\ \end{split}\end{equation} \]

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