Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to determine whether each of them corresponds to a local minimum or maximum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list. Enter DNE if there are no critical points.) the critical points with a local minimum at x = the critical points with a local maximum at x = the critical points where Second Derivative Test is inconclusive at x =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Find the critical points of f(x) = x² - x7 and apply the Second Derivative Test (if possible) to determine whether each of them
corresponds to a local minimum or maximum.
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list. Enter DNE if there
are no critical points.)
the critical points with a local minimum at x =
the critical points with a local maximum at x =
the critical points where Second Derivative Test is inconclusive at x =
Transcribed Image Text:Find the critical points of f(x) = x² - x7 and apply the Second Derivative Test (if possible) to determine whether each of them corresponds to a local minimum or maximum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list. Enter DNE if there are no critical points.) the critical points with a local minimum at x = the critical points with a local maximum at x = the critical points where Second Derivative Test is inconclusive at x =
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