There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{log_{5}^{{x}^{2} - 4}}^{1}}{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}log_{5}^{x^{2} - 4}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{2}log_{5}^{x^{2} - 4}\right)}{dx}\\=&\frac{1}{2}(\frac{(\frac{(2x + 0)}{(x^{2} - 4)} - \frac{(0)log_{5}^{x^{2} - 4}}{(5)})}{(ln(5))})\\=&\frac{x}{(x^{2} - 4)ln(5)}\\ \end{split}\end{equation} \]

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