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Suppose f(x) is differentiable at x=a. T...

Suppose `f(x)` is differentiable at `x=a`. Then , necessary condition for `f(x)` to possess local maxima or local minima at `x=a` is

A

`f(a) =0`

B

`f'(a) =0`

C

`f''(a) =0`

D

none of the above

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