Consider the function f(x) 10 x + 2 on the interval 4, 5]. Find the average or mean slope of the %3D function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4, 5) 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) 10 x + 2 on the interval 4, 5]. Find the average or mean slope of the %3D function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Consider the function f(x) = 10/x + 2 on the interval 4, 5]. 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 (4, 5) 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%2Fcc86f846-a977-46c9-9b5a-953abe99fbf6%2Fcc68f4be-ecd7-45ad-a455-22bb38fdf36c%2F1icmp4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 10/x + 2 on the interval 4, 5]. 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 (4, 5) 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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