Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following is true? f is concave upward at x = c Of is concave downward at x = c Of has a relative minimum at x = c f has a relative maximum at x = c

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
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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exercise 49

Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the
following is true?
Of is concave upward at x = c
Of is concave downward at x = c
Of has a relative minimum at x = c
Of has a relative maximum at x = c
Transcribed Image Text:Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following is true? Of is concave upward at x = c Of is concave downward at x = c Of has a relative minimum at x = c Of has a relative maximum at x = c
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