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7. Local Extrema. Consider the graphs below. These are graphs of the derivatives of two functions f and g. 2 -3 -2 -1 0 -3 -2 2 -1 1-

7. Local Extrema. Consider the graphs below. These are graphs of the derivatives of two functions f and g. 2 -3 -2 -1 0 -3 -2 2 -1 1-

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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7. Local Extrema. Consider the graphs below. These are graphs of the derivatives of two functions f and g. 4- -3- 3- 2 2 1. 4 -3 -2 -1 2 -3 -2 -1 2 3 -1- 1- -2- -3- -3- -4 Graph of f'(x) Graph of g'(x) a. What is the significance of the roots of f' and g'? Where are these roots? b. For each of the roots determined in part (a), determine based on the first derivative test whether that value is a local minimum or a local maximum. c. Does either f or g have inflection point(s).
Transcribed Image Text:7. Local Extrema. Consider the graphs below. These are graphs of the derivatives of two functions f and g. 4- -3- 3- 2 2 1. 4 -3 -2 -1 2 -3 -2 -1 2 3 -1- 1- -2- -3- -3- -4 Graph of f'(x) Graph of g'(x) a. What is the significance of the roots of f' and g'? Where are these roots? b. For each of the roots determined in part (a), determine based on the first derivative test whether that value is a local minimum or a local maximum. c. Does either f or g have inflection point(s).
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