Consider a function f with domain {x|x 0} and the following derivatives: f'(x) = x2 4x - a and f" (x) = 2a 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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Consider a function ƒ with domain {x|x 0} and the following derivatives:
f'(x) =
4x - a and f" (x) = 2a with a a nonzero real number.
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:Consider a function ƒ with domain {x|x 0} and the following derivatives: f'(x) = 4x - a and f" (x) = 2a with a a nonzero real number. 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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