There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x{e}^{(\frac{x}{2})} + \frac{6x}{5} - 2\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x{e}^{(\frac{1}{2}x)} + \frac{6}{5}x - 2\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x{e}^{(\frac{1}{2}x)} + \frac{6}{5}x - 2\right)}{dx}\\=&{e}^{(\frac{1}{2}x)} + x({e}^{(\frac{1}{2}x)}((\frac{1}{2})ln(e) + \frac{(\frac{1}{2}x)(0)}{(e)})) + \frac{6}{5} + 0\\=&{e}^{(\frac{1}{2}x)} + \frac{x{e}^{(\frac{1}{2}x)}}{2} + \frac{6}{5}\\ \end{split}\end{equation} \]

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