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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".

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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".
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