x² + 1 6. If f(x) = then Зx2— 1 a) find all the critical numbers. b) identify all intervals of increase and decrease. c) determine whether each critical numbers represents a local maximum, local minimum or neither. d) determine intervals where f is concave up and concave down. e) find all inflection point(s).
x² + 1 6. If f(x) = then Зx2— 1 a) find all the critical numbers. b) identify all intervals of increase and decrease. c) determine whether each critical numbers represents a local maximum, local minimum or neither. d) determine intervals where f is concave up and concave down. e) find all inflection point(s).
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
Section5.1: Increasing And Decreasing Functions
Problem 22E
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Question
![x2 + 1
6. If f(x) =
then
3x2- 1
a) find all the critical numbers.
b) identify all intervals of increase and decrease.
c) determine whether each critical numbers represents a local maximum, local
minimum or neither.
d) determine intervals where f is concave up and concave down.
e) find all inflection point(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94f1c617-0aab-49cf-8e1a-977190f62e97%2F940770fa-4980-4b93-895e-e82fdb2e4283%2Flkcv7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x2 + 1
6. If f(x) =
then
3x2- 1
a) find all the critical numbers.
b) identify all intervals of increase and decrease.
c) determine whether each critical numbers represents a local maximum, local
minimum or neither.
d) determine intervals where f is concave up and concave down.
e) find all inflection point(s).
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