There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{25}{((\frac{1}{2})(sin(x)) + 2cos(x))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{25}{(\frac{1}{2}sin(x) + 2cos(x))}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{25}{(\frac{1}{2}sin(x) + 2cos(x))}\right)}{dx}\\=&25(\frac{-(\frac{1}{2}cos(x) + 2*-sin(x))}{(\frac{1}{2}sin(x) + 2cos(x))^{2}})\\=&\frac{-25cos(x)}{2(\frac{1}{2}sin(x) + 2cos(x))^{2}} + \frac{50sin(x)}{(\frac{1}{2}sin(x) + 2cos(x))^{2}}\\ \end{split}\end{equation} \]

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