Find the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x³ - 6xy + y³ - 2 smaller y-value critical point classification larger y-value critical point classification (x, y) = (x, y) = ---Select--- --Select--- Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value relative maximum value
Find the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x³ - 6xy + y³ - 2 smaller y-value critical point classification larger y-value critical point classification (x, y) = (x, y) = ---Select--- --Select--- Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value relative maximum value
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Find the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.)
f(x, y) = x³ − 6xy + y³ - 2
smaller y-value
critical point
classification
(x, y)
larger y-value
critical point (x, y)
classification
=
=
---Select---
---Select---
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value
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