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4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point

4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point

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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4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point 5. Which of the following statements is true? A) A function that is continuous at x = c must be differentiable at x =c. B) A function that is not differentiable x = c must be continuous at x = c. C) A function that is not continuous at x =c must not be differentiable at x = c. D) A function that is not differentiable at x = c must not be continuous at x = c.
Transcribed Image Text:4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point 5. Which of the following statements is true? A) A function that is continuous at x = c must be differentiable at x =c. B) A function that is not differentiable x = c must be continuous at x = c. C) A function that is not continuous at x =c must not be differentiable at x = c. D) A function that is not differentiable at x = c must not be continuous at x = c.
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