Consider the function f(x) = = function on this interval. 1 on the interval [4, 7]. Find the average or mean slope of the x By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) 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) = = function on this interval. 1 on the interval [4, 7]. Find the average or mean slope of the x By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) 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)
function on this interval.
=
1
on the interval [4, 7]. Find the average or mean slope of the
x
By the Mean Value Theorem, we know there exists a c in the open interval (4,7) 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%2F16ddb12f-785b-4e54-be57-06f71a4f714a%2F1zqepws_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x)
function on this interval.
=
1
on the interval [4, 7]. Find the average or mean slope of the
x
By the Mean Value Theorem, we know there exists a c in the open interval (4,7) 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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