Consider the function f(x) = 5x' 3x on the interval - 5, 5. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval ( 5, 5) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Consider the function f(x) = 5x°
3x on the interval [- 5, 5]. Find the average or mean slope of the
function on this interval.
By the Mean Value Theorem, we know there exists at least one c in the open interval ( 5, 5) such that
f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.
The smaller one is
and the larger one is
Transcribed Image Text:Consider the function f(x) = 5x° 3x on the interval [- 5, 5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval ( 5, 5) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
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