There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{x}{5} + \frac{12}{5})e^{2}x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{5}x^{2}e^{2} + \frac{12}{5}xe^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{5}x^{2}e^{2} + \frac{12}{5}xe^{2}\right)}{dx}\\=&\frac{1}{5}*2xe^{2} + \frac{1}{5}x^{2}e^{2}*0 + \frac{12}{5}e^{2} + \frac{12}{5}xe^{2}*0\\=&\frac{2xe^{2}}{5} + \frac{12e^{2}}{5}\\ \end{split}\end{equation} \]

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