There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5x{e}^{(\frac{x}{4})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5x{e}^{(\frac{1}{4}x)}\right)}{dx}\\=&5{e}^{(\frac{1}{4}x)} + 5x({e}^{(\frac{1}{4}x)}((\frac{1}{4})ln(e) + \frac{(\frac{1}{4}x)(0)}{(e)}))\\=&5{e}^{(\frac{1}{4}x)} + \frac{5x{e}^{(\frac{1}{4}x)}}{4}\\ \end{split}\end{equation} \]

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