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

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