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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.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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