Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the function on this interval. 2/5 – 2/2 3 By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. 3 X o 3.3311388300842 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the
function on this interval.
2/5 – 2v2
By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
3
X o 3.3311388300842
4
Transcribed Image Text:Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the function on this interval. 2/5 – 2v2 By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. 3 X o 3.3311388300842 4
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