Homework Help is Here – Start Your Trial Now!
Math
Calculus
8. Relationship Between Continuity and Differentiability: (a) Justification needed): If lim 1+h)-/(1) = 2 and lim 71+h)-f(1) = 2 then f is Determine whether or not the following statement is True or False. (No h0- h→0+ differentiable at a = 1 and f'(1) = 2. If possible, draw the graph of a function that is continuous but not (b) differentiable at r = 0. If it is not possible, simply write "not possible". If possible, draw the graph of a function that is differentiable but not continuous at x = 0. If it is not possible, simply write "not possible".

8. Relationship Between Continuity and Differentiability: (a) Justification needed): If lim 1+h)-/(1) = 2 and lim 71+h)-f(1) = 2 then f is Determine whether or not the following statement is True or False. (No h0- h→0+ differentiable at a = 1 and f'(1) = 2. If possible, draw the graph of a function that is continuous but not (b) differentiable at r = 0. If it is not possible, simply write "not possible". If possible, draw the graph of a function that is differentiable but not continuous at x = 0. If it is not possible, simply write "not possible".

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
See similar textbooks
icon
Related questions
Question
8. Relationship Between Continuity and Differentiability: (a) Justification needed): If lim (1+h)-f(1) Determine whether or not the following statement is True or False. (No 2 then f is = 2 and lim f(1+h)-f(1) h h-0- h0+ differentiable at x = 1 and f'(1) = 2. (b) differentiable at x = 0. If it is not possible, simply write "not possible". If possible, draw the graph of a function that is continuous but not If possible, draw the graph of a function that is differentiable but not continuous at x = 0. If it is not possible, simply write “not possible".
Transcribed Image Text:8. Relationship Between Continuity and Differentiability: (a) Justification needed): If lim (1+h)-f(1) Determine whether or not the following statement is True or False. (No 2 then f is = 2 and lim f(1+h)-f(1) h h-0- h0+ differentiable at x = 1 and f'(1) = 2. (b) differentiable at x = 0. If it is not possible, simply write "not possible". If possible, draw the graph of a function that is continuous but not If possible, draw the graph of a function that is differentiable but not continuous at x = 0. If it is not possible, simply write “not possible".
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS