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Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy - 5y³. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *), (*, *, *).. Enter DNE if the points do not exist.) local min: local max:

Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy - 5y³. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *), (*, *, *).. Enter DNE if the points do not exist.) local min: local max:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy - 5y³. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *), (*, *, *)... Enter DNE if the points do not exist.) local min: local max: saddle points:
Transcribed Image Text:Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy - 5y³. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *), (*, *, *)... Enter DNE if the points do not exist.) local min: local max: saddle points:
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