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A function f(x) is differentiable at x=c...

A function f(x) is differentiable at `x=c(c in R)`. Let `g(x)=|f(x)|,f(c)=0` then

A

g(x) is not differentiable at `x=c`

B

for g(x) to be differentiable at c, `f'(c)=0`

C

for g(x) to be non-differentiable at `c,f'(c)=0`

D

none of these

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B
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