Which of the following statements is/are always true? I. If a function ƒ is not differentiable at a, then ƒ is continuous at a. II. If a function ƒ is not continuous at a number a, then ƒ is not differentiable at a.
Which of the following statements is/are always true? I. If a function ƒ is not differentiable at a, then ƒ is continuous at a. II. If a function ƒ is not continuous at a number a, then ƒ is not differentiable at a.
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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![Which of the following statements is/are always true?
I. If a function f is not differentiable at a, then f is continuous at a.
II. If a function f is not continuous at a number a, then f is not differentiable at a.
I only
B Neither I nor |
Both I and II
Il only](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9dec54f-af25-41cd-a5ad-e675b93a3c93%2F86b94061-1aaf-4ef2-857a-8b52725555be%2F34y2gk_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following statements is/are always true?
I. If a function f is not differentiable at a, then f is continuous at a.
II. If a function f is not continuous at a number a, then f is not differentiable at a.
I only
B Neither I nor |
Both I and II
Il only
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