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

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