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

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