There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{(\frac{x}{5})}sin(18)x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x{e}^{(\frac{1}{5}x)}sin(18)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x{e}^{(\frac{1}{5}x)}sin(18)\right)}{dx}\\=&{e}^{(\frac{1}{5}x)}sin(18) + x({e}^{(\frac{1}{5}x)}((\frac{1}{5})ln(e) + \frac{(\frac{1}{5}x)(0)}{(e)}))sin(18) + x{e}^{(\frac{1}{5}x)}cos(18)*0\\=&{e}^{(\frac{1}{5}x)}sin(18) + \frac{x{e}^{(\frac{1}{5}x)}sin(18)}{5}\\ \end{split}\end{equation} \]

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