There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {{3}^{sin(x)}}^{e}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{3}^{sin(x)}}^{e}\right)}{dx}\\=&({{3}^{sin(x)}}^{e}((0)ln({3}^{sin(x)}) + \frac{(e)(({3}^{sin(x)}((cos(x))ln(3) + \frac{(sin(x))(0)}{(3)})))}{({3}^{sin(x)})}))\\=&{{3}^{sin(x)}}^{e}eln(3)cos(x)\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！