There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{1}{2}x + \frac{{(12 - \frac{3{x}^{2}}{4} + 2)}^{1}}{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}x - \frac{3}{8}x^{2} + 7\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{2}x - \frac{3}{8}x^{2} + 7\right)}{dx}\\=&\frac{1}{2} - \frac{3}{8}*2x + 0\\=& - \frac{3x}{4} + \frac{1}{2}\\ \end{split}\end{equation} \]

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