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Find local maximum local mainimum Critical points Increasing decreaing interval

Find local maximum local mainimum Critical points Increasing decreaing interval

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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Q13 Find local maximum local mainimum Critical points Increasing decreaing interval
Consider the function f(x): = 2x + 2 x² +2 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 fraction 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.)
Transcribed Image Text:Consider the function f(x): = 2x + 2 x² +2 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 fraction 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.)
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 co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")". "I"."1" 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: Rog
Transcribed Image Text: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 co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")". "I"."1" 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: Rog
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