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

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