Consider the function: f(x)=10√x+8 on the interval [1,8] .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 (1,8)such that f'(c)is equal to this mean slope. For this problem, there is only one c that works. Find it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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8) Consider the function: f(x)=10√x+8 on the interval [1,8] .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 (1,8)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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