Consider the function f(x)=2-2x² on the interval [-1, 6]. Find the average or mean slope of the function on this interval, i.e. f(6)-f(-1) 6-(-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1,6) 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 93E
icon
Related questions
Question
Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu
Consider the function f(x)=2-2x² on the interval [-1, 6]. Find the average or mean slope of the
function on this interval, i.e.
f(6)-f(-1)
6-(-1)
By the Mean Value Theorem, we know there exists a c in the open interval (-1,6) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
Question Help: Video
Submit Question Jump to Answer
Transcribed Image Text:Consider the function f(x)=2-2x² on the interval [-1, 6]. Find the average or mean slope of the function on this interval, i.e. f(6)-f(-1) 6-(-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1,6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: Video Submit Question Jump to Answer
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
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