There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{(2x)}(sin(x) + 3cos(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {e}^{(2x)}sin(x) + 3{e}^{(2x)}cos(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{(2x)}sin(x) + 3{e}^{(2x)}cos(x)\right)}{dx}\\=&({e}^{(2x)}((2)ln(e) + \frac{(2x)(0)}{(e)}))sin(x) + {e}^{(2x)}cos(x) + 3({e}^{(2x)}((2)ln(e) + \frac{(2x)(0)}{(e)}))cos(x) + 3{e}^{(2x)}*-sin(x)\\=&-{e}^{(2x)}sin(x) + 7{e}^{(2x)}cos(x)\\ \end{split}\end{equation} \]

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