Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for a € (((-(sqrt(6))/6)), (sqrt(6))/6) (c) f is concave down for a € (-infinity, (-(sqrt(6))/6))U(((sqrt(6))/6), infinity) (d) Using the 2nd derivative test, the local maxima of f occur at x = (e) Using the 2nd derivative test, the local minima of f occur at x =
Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for a € (((-(sqrt(6))/6)), (sqrt(6))/6) (c) f is concave down for a € (-infinity, (-(sqrt(6))/6))U(((sqrt(6))/6), infinity) (d) Using the 2nd derivative test, the local maxima of f occur at x = (e) Using the 2nd derivative test, the local minima of f occur at x =
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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please answer a, d,e please and thank you
Transcribed Image Text:Consider the function ƒ(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)
(d) Using the 2nd derivative test, the local maxima of f occur at x =
(e) Using the 2nd derivative test, the local minima of f occur at x =
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