## anonymous 4 years ago what is the derivative of xsin(1/x)?

1. anonymous

product rule and chain rule for this one

2. anonymous

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