By the Mean Value Theorem, we know there exists at least one c in the open interval (-4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
By the Mean Value Theorem, we know there exists at least one c in the open interval (-4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Consider the function f(x) = 4x³ 3x on the interval [ – 4, 4]. Find the average or mean slope of the
-
function on this interval. 61
By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 4, 4) such that
f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.
The smaller one is
and the larger one is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e5f346-df3b-4f41-9e33-292cd4e41a88%2F80d274f7-8b0c-4782-91b9-0b8e2648497c%2Fi634x2t_processed.png&w=3840&q=75)
Transcribed Image Text:3
Consider the function f(x) = 4x³ 3x on the interval [ – 4, 4]. Find the average or mean slope of the
-
function on this interval. 61
By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 4, 4) such that
f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.
The smaller one is
and the larger one is
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