There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{3{x}^{3}}{(sin(x) - cos(x))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{3x^{3}}{(sin(x) - cos(x))}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{3x^{3}}{(sin(x) - cos(x))}\right)}{dx}\\=&3(\frac{-(cos(x) - -sin(x))}{(sin(x) - cos(x))^{2}})x^{3} + \frac{3*3x^{2}}{(sin(x) - cos(x))}\\=&\frac{-3x^{3}cos(x)}{(sin(x) - cos(x))^{2}} - \frac{3x^{3}sin(x)}{(sin(x) - cos(x))^{2}} + \frac{9x^{2}}{(sin(x) - cos(x))}\\ \end{split}\end{equation} \]

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