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

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