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Let f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt...

Let `f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt2):}` if `g(x)=|f(x)|+f(|x|)` then `g(x)` in `(-2,2)` is
(A) not continuous is (B) not differential at one point (C) differential at all points (D) not differential at two points

A

Differentiable at all points

B

not differentiable at two points

C

Not continuous

D

not differentiable at one point

Text Solution

Verified by Experts

The correct Answer is:
D
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