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

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