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Consider the following. f(x)=x²-6x² + 7

Consider the following. f(x)=x²-6x² + 7

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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Consider the following. f(x) = 3 = 6x2 47 (a) Find f'(x) and f"(x). F(x) = | 32 f(x) = | 6x - 12 3x²-12x X = (b) Graph f(x), f'(x), and f"(x) with a graphing utility. -5 y 150 100 X = 50 -50 -100 Excellent job! -150 Nice job! PR X Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) -5 Identify x-values where f"(x) < 0. (Enter your answer using interval notation.) (c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.) 150 (e) When f(x) has a maximum point, is f"(x) > 0 or f"(x) < 0? O F(x) = 0 O f(x) = 0 100 (f) When f(x) has a minimum point, is f"(x) > 0 or f"(x) < 0? O F(x) = 0 0 f(x) < 0 y 50 -50 -100 -150 (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.) X -5 y 150 1sof 100 50 -50 -100 -150 * ه 5 ✔ Nicely done. y 150 100 50 -50 -100 -150
Transcribed Image Text:Consider the following. f(x) = 3 = 6x2 47 (a) Find f'(x) and f"(x). F(x) = | 32 f(x) = | 6x - 12 3x²-12x X = (b) Graph f(x), f'(x), and f"(x) with a graphing utility. -5 y 150 100 X = 50 -50 -100 Excellent job! -150 Nice job! PR X Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) -5 Identify x-values where f"(x) < 0. (Enter your answer using interval notation.) (c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.) 150 (e) When f(x) has a maximum point, is f"(x) > 0 or f"(x) < 0? O F(x) = 0 O f(x) = 0 100 (f) When f(x) has a minimum point, is f"(x) > 0 or f"(x) < 0? O F(x) = 0 0 f(x) < 0 y 50 -50 -100 -150 (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.) X -5 y 150 1sof 100 50 -50 -100 -150 * ه 5 ✔ Nicely done. y 150 100 50 -50 -100 -150
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