Question: Suppose f ' ' is continuous on ( - , ) . ( a ) If f ' ( 3 ) = 0 and f

Suppose f'' is continuous on (-,).
(a) If f'(3)=0 and f''(3)=-1, what can you say about f?
At x=3,f has a local maximum.
At x=3,f has a local minimum.
At x=3,f has neither a maximum nor a minimum.
More information is needed to determine if f has a maximum or minimum at x=3.
(b) If f'(5)=0 and f''(5)=0, what can you say about f?
At x=5,f has a local maximum.
At x=5,f has a local minimum.
At x=5,f has neither a maximum nor a minimum.
More information is needed to determine if f has a maximum or minimum at x=5.
Suppose f'' is continuous on (-,). (a) If f'(3)=0 and f''(3)=-1,

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