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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 14CR
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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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