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Consider the function f(x) = 2x + 4 x² + 4 Find the critical point(s) of f. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): Use the First Derivative Test to determine whether the critical point(s) yield(s) a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.)

Consider the function f(x) = 2x + 4 x² + 4 Find the critical point(s) of f. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): Use the First Derivative Test to determine whether the critical point(s) yield(s) a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.)

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) = 2x + 4 x² + 4 Find the critical point(s) of f. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): 4 Use the First Derivative Test to determine whether the critical point(s) yield(s) a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.) local minima at x =
Transcribed Image Text:Consider the function f(x) = 2x + 4 x² + 4 Find the critical point(s) of f. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): 4 Use the First Derivative Test to determine whether the critical point(s) yield(s) a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.) local minima at x =
local minima at x = local maxima at x = Find the intervals on which the function is increasing or decreasing. (Give your answer as an interval in the form (*.*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) f is increasing on f is decreasing on Question Source: Rogawski 4e Calculus Early Transcendentals
Transcribed Image Text:local minima at x = local maxima at x = Find the intervals on which the function is increasing or decreasing. (Give your answer as an interval in the form (*.*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) f is increasing on f is decreasing on Question Source: Rogawski 4e Calculus Early Transcendentals
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