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If a differentiable function f(x) attain...

If a differentiable function f(x) attains a local extremum at x=a , then -

A

`f'(a)=0 , f'' (a) lt 0`

B

`f'(a)lt0`

C

`f'(a) =0 ,f''(a) ne0`

D

`f'(a) =0 , f''(a)gt0`

Text Solution

Verified by Experts

The correct Answer is:
C
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