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

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