Question: Suppose f ' ' is continuous on ( - , ) . ( a ) If f ' ( 1 ) = 0 and f

Suppose f'' is continuous on (-,).
(a) If f'(1)=0 and f''(1)=-9, what can you say about f?
At x=1,f has a local maximum.
At x=1,f has a local minimum.
At x=1,f has neither a maximum nor a minimum.
More information is needed to determine if f has a maximum or minimum at x=1.
(b) If f'(4)=0 and f''(4)=0, what can you say about f?
At x=4,f hes a local maximum.
At x=4,t has a local minimum.
At x=4,f has neither a maximum nor a minimum.
More information is needed to determine if f has a maximum or minimum at x=4.
Suppose f ' ' is continuous on ( - , ) . ( a ) If

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