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If f(x)=x|x|,AAx inR. then :...

If `f(x)=x|x|,AAx inR`. then :

A

f is derivable at `x=0` and `f'(0)=1`

B

f is disconitinuous at `x=0`

C

f is derivable at `x=0` but `f'(0)!=0`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
D
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