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35. Which of the following statements is/are ALWAYS true? A. A function that is continuous at x-a must be differentiable at x=a. B. A function that is NOT continuous at x-a must NOT be differentiable at x=a. C. A function that is NOT differentiable at x=a must NOT be continuous at x=a. D. A function that is differentiable at x=a must NOT be continuous at x=a. 36. What is the derivative of f(x) = -√√3? A. f'(x) = √3 C. f'(x)=0 B. f'(x) = -√3 D. undefined 37. What is the derivative of f(x) = x5? A. f'(x) = x5 C. f'(x) = 4x6 B. f'(x) = 5x4 D. undefined

35. Which of the following statements is/are ALWAYS true? A. A function that is continuous at x-a must be differentiable at x=a. B. A function that is NOT continuous at x-a must NOT be differentiable at x=a. C. A function that is NOT differentiable at x=a must NOT be continuous at x=a. D. A function that is differentiable at x=a must NOT be continuous at x=a. 36. What is the derivative of f(x) = -√√3? A. f'(x) = √3 C. f'(x)=0 B. f'(x) = -√3 D. undefined 37. What is the derivative of f(x) = x5? A. f'(x) = x5 C. f'(x) = 4x6 B. f'(x) = 5x4 D. undefined

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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35. Which of the following statements is/are ALWAYS true? A. A function that is continuous at x=a must be differentiable at x=a. B. A function that is NOT continuous at x-a must NOT be differentiable at x=a. C. A function that is NOT differentiable at x-a must NOT be continuous at x=a. D. A function that is differentiable at x-a must NOT be continuous at x=a. 36. What is the derivative of f(x) = -√√3? A. f'(x) = √3 C. f'(x)=0 B. f'(x) = -√3 D. undefined 37. What is the derivative of ƒ(x) = x5? A. f'(x) = x5 C. f'(x) = 4x6 B. f'(x) = 5x4 D. undefined
Transcribed Image Text:35. Which of the following statements is/are ALWAYS true? A. A function that is continuous at x=a must be differentiable at x=a. B. A function that is NOT continuous at x-a must NOT be differentiable at x=a. C. A function that is NOT differentiable at x-a must NOT be continuous at x=a. D. A function that is differentiable at x-a must NOT be continuous at x=a. 36. What is the derivative of f(x) = -√√3? A. f'(x) = √3 C. f'(x)=0 B. f'(x) = -√3 D. undefined 37. What is the derivative of ƒ(x) = x5? A. f'(x) = x5 C. f'(x) = 4x6 B. f'(x) = 5x4 D. undefined
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