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

Your problem has not been solved here? Please take a look at the  hot problems ！