There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{({(x - 8)}^{2} + 7){\frac{1}{x}}^{1}}{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}x + \frac{\frac{71}{2}}{x} - 8\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{2}x + \frac{\frac{71}{2}}{x} - 8\right)}{dx}\\=&\frac{1}{2} + \frac{\frac{71}{2}*-1}{x^{2}} + 0\\=& - \frac{71}{2x^{2}} + \frac{1}{2}\\ \end{split}\end{equation} \]

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