Let f be continuous on an interval I from a to b with only one critical number c in (a, b). If f'(c) [Select] and f" (c) [Select] , then f(c) is the absolute minimum of f on I. If f'(c) [Select] ✓ and f" (c) [Select] , then f(c) is the absolute maximum of f on I.
Let f be continuous on an interval I from a to b with only one critical number c in (a, b). If f'(c) [Select] and f" (c) [Select] , then f(c) is the absolute minimum of f on I. If f'(c) [Select] ✓ and f" (c) [Select] , then f(c) is the absolute maximum of f on I.
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 16CR
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![Let f be continuous on an interval I from a to b with only one critical number c in (a, b).
If f'(c) [Select]
and f" (c)
[Select]
, then
f(c) is the absolute minimum of f on I.
If f'(c) [Select]
✓ and f" (c) [Select]
, then
f(c) is the absolute maximum of f on I.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda8c5e25-0a1b-41c4-bd54-1504c508d2e8%2F6ac1afca-d50e-4a8a-9526-40031f7f132c%2Ffp97e609_processed.png&w=3840&q=75)
Transcribed Image Text:Let f be continuous on an interval I from a to b with only one critical number c in (a, b).
If f'(c) [Select]
and f" (c)
[Select]
, then
f(c) is the absolute minimum of f on I.
If f'(c) [Select]
✓ and f" (c) [Select]
, then
f(c) is the absolute maximum of f on I.
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