Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) 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
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question
Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the
function on this interval, i.e.
f(4) - f(-1)
4- (-1)
By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning