Question

what is the derivative of xsin(1/x)?

Answer 1

product rule and chain rule for this one

Answer 2

\[(fg)'-f'g+g'f\]
\[\frac{d}{dx}[x\sin(\frac{1}{x})]=\sin(\frac{1}{x})+x\cos(\frac{1}{x})\times (-\frac{1}{x^2})\] clean up with some algebra