Suppose f " is continuous on (-∞, ). (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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