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

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