a. Explanation Given information: The statement is given as, “If a function f is continuous on ( a , b ) , then it is differentiable on ( a , b ) ” b. To determine To find: Whether the statement, “If a function f is differentiable on ( a , b ) , then it is continuous on ( a , b ) ” is true or false.

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 3.1, Problem 3PS

To determine

To find:Whether the statement, “If a function f is continuous on (a,b) , then it is differentiable on (a,b) ” is true or false.

To determine

To find: Whether the statement, “If a function f is differentiable on (a,b) , then it is continuous on (a,b) ” is true or false.

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Chapter 3.1, Problem 2PS

Chapter 3.1, Problem 4PS

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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Whether the statement, “If a function f is continuous on ( a , b ) , then it is differentiable on ( a , b ) ” is true or false.

Solution Summary: The author analyzes whether the statement, "If a function f is continuous on (a,b), then it is differentiable