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Let a , b in R and f:R to R be defined...

Let ` a , b in R and f:R to R` 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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