Consider the function f(x) 1 on the interval 2, 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 (2, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) 1 on the interval 2, 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 (2, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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![Consider the function f(x)
1
on the interval 2, 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 (2, 8) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1888d741-ca8c-4b7b-a2ec-18e7925f5e84%2F7d9d09df-9d98-498c-a7f7-e69e06e69377%2Flqhcgx8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x)
1
on the interval 2, 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 (2, 8) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
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