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The first and second order derivatives o...

The first and second order derivatives of a function f(x) exit at all point in (a,b) with f'( c) =0 , where `altcltb` , of c and `f'(x)gt0` for all points on the immediate right of c, and `f'(x)lt0` for all points on the immediate left of c then at x=c , , f(x) has a

A

local maximum

B

local minimum

C

point of inflexion

D

none of these

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The correct Answer is:
B
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