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If f(x) = {{:(|x|",", "for",,0 lt |x| le...

If `f(x) = {{:(|x|",", "for",,0 lt |x| le 2), (1",", "for,, x =0):}`. Then, at x = 0, ` f ` has

A

a local maximum

B

no local maximum

C

a local minimum

D

no extremum

Text Solution

Verified by Experts

The correct Answer is:
A
At x=0 f(x) is not differentaible .However, f(x) has a local maximum at x=0
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