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Let f(x)=|x| and g(x)=|x^3| , then (a).f...

Let `f(x)=|x|` and `g(x)=|x^3|` , then (a).`f(x)` and `g(x)` both are continuous at `x=0` (b) `f(x)` and `g(x)` both are differentiable at `x=0` (c) `f(x)` is differentiable but `g(x)` is not differentiable at `x=0` (d) `f(x)` and `g(x)` both are not differentiable at `x=0`

A

f(x) and g(x) btoh the continuous at x=0

B

f(x) and g(x) btoh the differentiable at x=0

C

f(x) is differentiable but g(x) is not differentiable at x=0

D

f(x) and g(x) both are not differentiable at x=0.

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