Suppose a continuous function f is concave up on (- o,0) and (0,00). Assume f has a loca with an illustration. ..... Choose the correct response below. O A. f'(0) does not exist. O B. f'(0) = 00 OC. f'(0)= 0 O D. More information is needed.

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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Suppose a continuous function f is concave up on (- 00,0) and (0,00). Assume f has a local maximum at x = 0. What, if anything, do you know about f' (0)? Explain
with an illustration.
.....
Choose the correct response below.
O A. f'(0) does not exist.
O B. f'(0) = o0
OC. f'(0) = 0
O D. More information is needed.
Transcribed Image Text:Suppose a continuous function f is concave up on (- 00,0) and (0,00). Assume f has a local maximum at x = 0. What, if anything, do you know about f' (0)? Explain with an illustration. ..... Choose the correct response below. O A. f'(0) does not exist. O B. f'(0) = o0 OC. f'(0) = 0 O D. More information is needed.
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