MA Let r [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. f(x) = { 0. if r ≤9. 1. Show that F is not differentiable at x = 0.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
icon
Related questions
Question
Let re [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by
1. if x > 0.
0. if r ≤ 0.
f(x) =
1. Show that F is not differentiable at x = 0.
Transcribed Image Text:Let re [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. 0. if r ≤ 0. f(x) = 1. Show that F is not differentiable at x = 0.
2. Explain why the above result does not contradict the Fundamental Theorem of
calculus (you must first state clearly this Theorem).
Transcribed Image Text:2. Explain why the above result does not contradict the Fundamental Theorem of calculus (you must first state clearly this Theorem).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning