There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {arctan({x}^{3} - 2x)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arctan^{\frac{1}{2}}(x^{3} - 2x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arctan^{\frac{1}{2}}(x^{3} - 2x)\right)}{dx}\\=&(\frac{\frac{1}{2}(3x^{2} - 2)}{arctan^{\frac{1}{2}}(x^{3} - 2x)(1 + (x^{3} - 2x)^{2})})\\=&\frac{3x^{2}}{2(x^{6} - 4x^{4} + 4x^{2} + 1)arctan^{\frac{1}{2}}(x^{3} - 2x)} - \frac{1}{(x^{6} - 4x^{4} + 4x^{2} + 1)arctan^{\frac{1}{2}}(x^{3} - 2x)}\\ \end{split}\end{equation} \]

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