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

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