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Let x=c be a point in the domain of de...

Let x=c be a point in the domain of definition of a differentiable function , then f(x) will have a local maximum at x=c when -

A

`f'(c)=0,f''(x)ne0`

B

`f'(c)=0,f''(x)gt0`

C

`f'(c)=0,f''(c)lt0`

D

`f'(c)=0,f''(c)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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