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Consider the function f(x) = 4x² - 4x4.

Consider the function f(x) = 4x² - 4x4.

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 function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for x = ((-(sqrt(6))/6), ((sqrt(6)/6))) (c) f is concave down for x = (-infinity,(-(sqrt(6))/6))U((sqrt(6)/6),infinity) e (d) Using the 2nd derivative test, the local maxima of occur at. J -sqrt(2)/2,sqrt(2)/2 (e) Using the 2nd derivative test, the local minima of f occur at x = Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.
Transcribed Image Text:Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for x = ((-(sqrt(6))/6), ((sqrt(6)/6))) (c) f is concave down for x = (-infinity,(-(sqrt(6))/6))U((sqrt(6)/6),infinity) e (d) Using the 2nd derivative test, the local maxima of occur at. J -sqrt(2)/2,sqrt(2)/2 (e) Using the 2nd derivative test, the local minima of f occur at x = Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.
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