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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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The graph of the derivative f' of a function f over the interval (1, 10) is shown. 4 3 y = f'(x) 2 1 3 5 6 8 A 10 (a) What are the critical numbers of f in the interval (1, 10)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) On what interval(s) is f increasing? On what interval(s) is f decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (c) At what values of x does fa relative maximum value? A relative minimum value? (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) f has a relative maximum value at x = f has a relative minimum value at x = (d) On what interval(s) is f concave upward? On what interval(s) is f concave downward? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Concave upward: Concave downward: (e) What are the x-coordinate(s) of the inflection points of f? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X=
Transcribed Image Text:The graph of the derivative f' of a function f over the interval (1, 10) is shown. 4 3 y = f'(x) 2 1 3 5 6 8 A 10 (a) What are the critical numbers of f in the interval (1, 10)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) On what interval(s) is f increasing? On what interval(s) is f decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (c) At what values of x does fa relative maximum value? A relative minimum value? (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) f has a relative maximum value at x = f has a relative minimum value at x = (d) On what interval(s) is f concave upward? On what interval(s) is f concave downward? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Concave upward: Concave downward: (e) What are the x-coordinate(s) of the inflection points of f? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X=
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