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

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