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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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Page < > of 5 ZOC 1. Suppose f'(x) is a cubic polynomial. What are the possibilities for critical points for such a function?
Transcribed Image Text:Page < > of 5 ZOC 1. Suppose f'(x) is a cubic polynomial. What are the possibilities for critical points for such a function?
1. Suppose f'(x) is a cubic polynomial. What are the possibilities for critical points for such a function? (HINT: THINK ABOUT WHERE CRITICAL POINTS CAN COME FROM). List possible number of c.p.'s (Le., if it is only possible to have 0 or 1 critical point, your answer should be 0,1) Examples of f'(x) for each possibility: 2. For each of the following statements, determine if they are true or false, In either situation, explain your answer. a. For a differentiable function/on the interval |0,1|, its maximum value must occur at either x = 0 or x = 1.
Transcribed Image Text:1. Suppose f'(x) is a cubic polynomial. What are the possibilities for critical points for such a function? (HINT: THINK ABOUT WHERE CRITICAL POINTS CAN COME FROM). List possible number of c.p.'s (Le., if it is only possible to have 0 or 1 critical point, your answer should be 0,1) Examples of f'(x) for each possibility: 2. For each of the following statements, determine if they are true or false, In either situation, explain your answer. a. For a differentiable function/on the interval |0,1|, its maximum value must occur at either x = 0 or x = 1.
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