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Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ? %3D O 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. O 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 ? O 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 (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ? %3D O 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. O 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 ? O 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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Ch 4.3 #11 Can you show me how to do this
Suppose f " is continuous on (-o, 0). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ? %3D 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 ? O At x = 5, f has a local maximum. %3D 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.
Transcribed Image Text:Suppose f " is continuous on (-o, 0). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ? %3D 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 ? O At x = 5, f has a local maximum. %3D 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.
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