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
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
100%
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
Transcribed Image Text: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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