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

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