Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the critical points. (b) Classify the critical points using the first derivative test to deter- mine if they are local maximum or minimum or neither. (c) Find any points of inflection for f(x).
Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the critical points. (b) Classify the critical points using the first derivative test to deter- mine if they are local maximum or minimum or neither. (c) Find any points of inflection for f(x).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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![Calculus
1. Consider the function f(x) = -5+7²-1.
(a) Find the derivative f'(x) and hence the critical points.
(b) Classify the critical points using the first derivative test to deter-
mine if they are local maximum or minimum or neither.
(c) Find any points of inflection for f(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8929ae3d-13b8-4550-a3ab-69af2ea4431c%2Faabeb7a7-778c-46f0-bfd5-792903250811%2Fzxb4gp9_processed.png&w=3840&q=75)
Transcribed Image Text:Calculus
1. Consider the function f(x) = -5+7²-1.
(a) Find the derivative f'(x) and hence the critical points.
(b) Classify the critical points using the first derivative test to deter-
mine if they are local maximum or minimum or neither.
(c) Find any points of inflection for f(x).
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