Let a, b in RR and f : RR rarr RR be def...

Let `a, b in RR` and `f : RR rarr RR` be defined by `f(x) = a cos(|x^3-x|) + b|x| sin(|x^3+x|).` Then `f` is

A

differentiable at x = 0 if a = 0 and b = 1

B

differentiable at x = 1 if a = 1 and b = 0

C

NOT differentiable at x = 0 if a = 1 and b = 0

D

NOT differentiable at x = 1 if a = 1 and b = 1

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The correct Answer is:

A, B, C

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