Consider the function f(x) = 6√x + 6 on the interval [3, 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 (3, 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) = 6√x + 6 on the interval [3, 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 (3, 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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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![Consider the function f(x) = 6√x + 6 on the interval [3, 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 (3, 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%2Ff0123591-fed7-4568-91c4-d5c32b5e453b%2Fa78f0e7e-7d22-40af-a105-1c892552709e%2Fcwxtics_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 6√x + 6 on the interval [3, 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 (3, 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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