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

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