Consider the function f(x) == on the interval [3, 11]. 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 (3, 11) such that ƒ'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) == on the interval [3, 11]. 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 (3, 11) such that ƒ'(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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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![==
Consider the function f(x) =
on the interval [3, 11]. Find the average or mean
X
slope of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (3, 11) 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%2F2e676c86-958a-4381-909f-e29a5bb4ea55%2F37b798f8-e880-4466-b347-4668895f671e%2Fhydklci_processed.png&w=3840&q=75)
Transcribed Image Text:==
Consider the function f(x) =
on the interval [3, 11]. Find the average or mean
X
slope of the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (3, 11) 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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