Suppose f" is continuous on (-00, 00). (a) If f'(-5)=0 and f"(-5)= 5, 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. (b) If f'(-3)=0 and f"(-3) = 0, 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.

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