Question: If f ( x ) is continuous, f ' ( 3 ) = 0 and f ' ' ( 3 ) = - 2 ,

If f(x) is continuous, f'(3)=0 and f''(3)=-2, what can be said about f(x) at x=3? By the second derivative test, x=3 is a local maximum.
If f ( x ) is continuous, f ' ( 3 ) = 0 and f ' '

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