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## Homework Statement

B(x)= xsin(1/x) when x is not equal to 0

= 0 when x is equal to 0

Determine if the function is differentiable at 0

## Homework Equations

## The Attempt at a Solution

I get B'(x)= sin(1/x)+cos(1/x)*(-1/x) but really do not know what should be done next.. I think for B'(x) x cannot be 0, but isn't the discontinuity removed as the function is defined to be 0 at x=0? ...