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

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