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Let f(x)={(x1)sin(1x1), if x  1 0,if x =1.Then which one of the following is true?


( A ) f is neither differentiable at x = 0 nor at x = 1
( B ) f is differentiable at x = 1 but not at x = 0
( C ) f is differentiable at x = 0 but not at x = 1
( D ) f is differentiable at x = 0 and at x = 1

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