There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{sin(5x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{sin(5x)}\right)}{dx}\\=&({e}^{sin(5x)}((cos(5x)*5)ln(e) + \frac{(sin(5x))(0)}{(e)}))\\=&5{e}^{sin(5x)}cos(5x)\\ \end{split}\end{equation} \]

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