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Which of the following is false? O If a function is differentiable at x = a, then it is continuous at x = a, a ER. O If a function is continuous at x = a, then it is differentiable at x = a, a ER. O If x = a is not in the domain of a function, then the function is not differentiable at x = a, a E R. O If a function is discontinuous at x = a, then it is not differentiable at x = a, a E R.

Which of the following is false? O If a function is differentiable at x = a, then it is continuous at x = a, a ER. O If a function is continuous at x = a, then it is differentiable at x = a, a ER. O If x = a is not in the domain of a function, then the function is not differentiable at x = a, a E R. O If a function is discontinuous at x = a, then it is not differentiable at x = a, a E R.

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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Which of the following is false? If a function is differentiable at x = a, then it is continuous at x = a, a E R. If a function is continuous at x = a, then it is differentiable at = a, a E R. O If x = a is not in the domain of a function, then the function is not differentiable at x = a, a E R. O If a function is discontinuous at x = a, then it is not differentiable at x = a, a E R.
Transcribed Image Text:Which of the following is false? If a function is differentiable at x = a, then it is continuous at x = a, a E R. If a function is continuous at x = a, then it is differentiable at = a, a E R. O If x = a is not in the domain of a function, then the function is not differentiable at x = a, a E R. O If a function is discontinuous at x = a, then it is not differentiable at x = a, a E R.
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