Question 2 Consider a function f with domain {x|x # 0} and the following derivatives: S'(x) = 4x² – a x? and f" (x) = 24 with a a nonzero real number. x 2.1 What are the critical points of the function f? What are the value(s) of a for which the critical points are defined? Do not show calculations. 2.2 Use the second derivative test to identify the local extremes, if any, of f.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Question 2
Consider a function f with domain {x|x 0} and the following derivatives:
S'(x) =
4x² – a
x?
and f" (x) = 24 with a a nonzero real number.
x'
2.1 What are the critical points of the function f?
What are the value(s) of a for which the critical points are defined?
Do not show calculations.
2.2 Use the second derivative test to identify the local extremes, if any, of f.
Transcribed Image Text:Question 2 Consider a function f with domain {x|x 0} and the following derivatives: S'(x) = 4x² – a x? and f" (x) = 24 with a a nonzero real number. x' 2.1 What are the critical points of the function f? What are the value(s) of a for which the critical points are defined? Do not show calculations. 2.2 Use the second derivative test to identify the local extremes, if any, of f.
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