Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [– 6, 8]. 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, 8) 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) = 2x – 6x² – 48x + 1 on the interval [– 6, 8]. 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, 8) 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
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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![Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [- 6, 8]. 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, 8) 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%2Fd1a60218-49a1-43b9-ad31-57c7682770c0%2F7a98ff8d-d6fc-46ed-a661-81fe67e0db93%2F2qd2ino_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [- 6, 8]. 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, 8) 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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