There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(2}^{47sin(3)x - 10}}{(20sqrt(6) + 21.65 - 21.65cos(3)x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2}{(20sqrt(6) - 21.65xcos(3) + 21.65)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{2}{(20sqrt(6) - 21.65xcos(3) + 21.65)}\right)}{dx}\\=&2(\frac{-(20*0*0.5*6^{\frac{1}{2}} - 21.65cos(3) - 21.65x*-sin(3)*0 + 0)}{(20sqrt(6) - 21.65xcos(3) + 21.65)^{2}})\\=&\frac{-43.3cos(3)}{(20sqrt(6) - 21.65xcos(3) + 21.65)(20sqrt(6) - 21.65xcos(3) + 21.65)}\\ \end{split}\end{equation} \]

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