There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arccot({(\frac{(1 - x)}{(1 + x)})}^{\frac{1}{2}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arccot(\frac{(-x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arccot(\frac{(-x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}})\right)}{dx}\\=&(\frac{(\frac{(\frac{\frac{1}{2}(-1 + 0)}{(-x + 1)^{\frac{1}{2}}})}{(x + 1)^{\frac{1}{2}}} + (-x + 1)^{\frac{1}{2}}(\frac{\frac{-1}{2}(1 + 0)}{(x + 1)^{\frac{3}{2}}}))}{(1 + (\frac{(-x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}})^{2})})\\=&\frac{-1}{2(-x + 1)^{\frac{1}{2}}(x + 1)^{\frac{1}{2}}(\frac{-x}{(x + 1)} + \frac{1}{(x + 1)} + 1)} - \frac{(-x + 1)^{\frac{1}{2}}}{2(x + 1)^{\frac{3}{2}}(\frac{-x}{(x + 1)} + \frac{1}{(x + 1)} + 1)}\\ \end{split}\end{equation} \]

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