Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean %3D slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval ( – 5, 9) 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° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean %3D slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval ( – 5, 9) 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
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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Question
![Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean
%3D
slope of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval ( – 5, 9) 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%2F24a06c7a-9131-4142-945d-cc03b40f202b%2Fab4f1591-dca6-47cb-b095-8179d292855a%2Fbpgi07b_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean
%3D
slope of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval ( – 5, 9) 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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