There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(\frac{5}{(x + 2)})}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{5^{\frac{1}{2}}}{(x + 2)^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{5^{\frac{1}{2}}}{(x + 2)^{\frac{1}{2}}}\right)}{dx}\\=&5^{\frac{1}{2}}(\frac{\frac{-1}{2}(1 + 0)}{(x + 2)^{\frac{3}{2}}})\\=&\frac{-5^{\frac{1}{2}}}{2(x + 2)^{\frac{3}{2}}}\\ \end{split}\end{equation} \]

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