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

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