Consider the function f(x) = 3x° 4x on the interval - 3, 3. Find the average or mean slope of the %3D function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (- 3, 3) 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 91E
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Consider the function f(x) = 3x
4x on the interval - 3, 3]. 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 (- 3, 3) 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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Transcribed Image Text:Consider the function f(x) = 3x 4x on the interval - 3, 3]. 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 (- 3, 3) 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 Question Help: D Video M Message instructor Add Work Submit Question
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