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By the Mean Value Theorem, we know there exists at least one c in the open interval (-4, 4) 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

By the Mean Value Theorem, we know there exists at least one c in the open interval (-4, 4) 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
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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3 Consider the function f(x) = 4x³ 3x on the interval [ – 4, 4]. Find the average or mean slope of the - function on this interval. 61 By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 4, 4) 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:3 Consider the function f(x) = 4x³ 3x on the interval [ – 4, 4]. Find the average or mean slope of the - function on this interval. 61 By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 4, 4) 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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