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If f(x) = x^(3)sgn (x), then A. f is ...

If `f(x) = x^(3)`sgn (x), then


A. f is differentiable at x = 0
B. f is continuous but not differentiable at x = 0
C. `f'(0^(-)) = 1`
D. None of these

A

f is differentiable at x = 0

B

f is continuous but not differentiable at x = 0

C

`f'(0^(-)) = 1`

D

None of these

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