Consider the function f(x) = 2x³- 6x² - 48x + 5 on the interval [-6, 7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (-6, 7) 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
Consider the function f(x) = 2x³- 6x² - 48x + 5 on the interval [-6, 7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (-6, 7) 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
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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![Consider the function f(x) = 2x³- 6x² - 48x + 5 on the interval [-6, 7]. Find the average or mean slope
of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (-6, 7) 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%2F9b27e901-e87b-4228-8406-e843591659e6%2Fd0e48fab-6b7f-4a49-bafd-cce029a27c9e%2Fx55p8yt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2x³- 6x² - 48x + 5 on the interval [-6, 7]. Find the average or mean slope
of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (-6, 7) 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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