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

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