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6. Which of the following is the reason for a function differentiable at x=-5 if the function is continuous at x=-5 is not true? A) Differentiability requires continuity.

6. Which of the following is the reason for a function differentiable at x=-5 if the function is continuous at x=-5 is not true? A) Differentiability requires continuity.

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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6. Which of the following is the reason for a function differentiable at x=-5 if the function is continuous at x=-5 is not true? A) Differentiability requires continuity. B) A function that is differentiable is continuous. C) A continuous function can still fail to be differentiable. D) continuity and differentiability are not related 7. At what x-values is f(x) = x2-x-6 not x²-9 differentiable? A) -3 and 2 B) 3 and -2 C) 3 and -3 D) -2 and 2
Transcribed Image Text:6. Which of the following is the reason for a function differentiable at x=-5 if the function is continuous at x=-5 is not true? A) Differentiability requires continuity. B) A function that is differentiable is continuous. C) A continuous function can still fail to be differentiable. D) continuity and differentiability are not related 7. At what x-values is f(x) = x2-x-6 not x²-9 differentiable? A) -3 and 2 B) 3 and -2 C) 3 and -3 D) -2 and 2
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