Find the critical point(s) of the function f(x) = x³ + x−³+2.(Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation andfractions where needed. Enter DNE if the function has no critical points.)critical point(s): 1IncorrectDetermine the x-coordinates of the critical point(s) that correspond(s) to 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 fractionswhere needed. Enter DNE if the function has no local minimum or local maximum.)local minima at x =1local maxima at x =−1

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Answered: Find the critical point(s) of the…

Math

Calculus

Find the critical point(s) of the function f(x) = x³ + x−³+2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Question

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Find the critical point(s) of the function f(x) = x³ + x−³+2.
(Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and
fractions where needed. Enter DNE if the function has no critical points.)
critical point(s): 1
Incorrect
Determine the x-coordinates of the critical point(s) that correspond(s) to 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 =
1
local maxima at x =
−1

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