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

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