Find the critical points for the function f (x, y) = x³ + ³ – 6x2 – 3y – 6 and classify each as a local maximum, local minimum, saddle point, or none of these.
Find the critical points for the function f (x, y) = x³ + ³ – 6x2 – 3y – 6 and classify each as a local maximum, local minimum, saddle point, or none of these.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Step 1: Consider the provided function,
VIEWStep 2: Partially differentiate the function with respect to x and y.
VIEWStep 3: The critical points for the function are calculated below,
VIEWStep 4: Again, differentiate the obtained derivative.
VIEWStep 5: Further simplify,
VIEWStep 6: Substitute the critical points in D.
VIEWStep 7: Further simplify,
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