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10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3

10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3

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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(D) what values of x does f have a local maximum or minin 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3 16. f(x) = x² ln(x) 30. Sketch a graph of a function which satisfies all the given conc that satisfies the following conditions. f'(0) = f'(4) = 0, f'(x) = 1 if x < -1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if (-1,0) U (2,4) U (4, ∞0), lim_ f'(x) = ∞o, lim f(x) = ∞, x-2- f"(x) > 0 if (-1,2) U (2,4) f(x) < 0 if x>4
Transcribed Image Text:(D) what values of x does f have a local maximum or minin 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3 16. f(x) = x² ln(x) 30. Sketch a graph of a function which satisfies all the given conc that satisfies the following conditions. f'(0) = f'(4) = 0, f'(x) = 1 if x < -1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if (-1,0) U (2,4) U (4, ∞0), lim_ f'(x) = ∞o, lim f(x) = ∞, x-2- f"(x) > 0 if (-1,2) U (2,4) f(x) < 0 if x>4
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