nd the critical point 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) = x² - ex² itical point assification (x, y) = -Select-- nally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) elative minimum value elative maximum value

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Find the critical point 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.)
x² - ey²
f(x, y)
critical point
classification
=
(x, y)
=(
---Select---
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value
Transcribed Image Text:Find the critical point 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.) x² - ey² f(x, y) critical point classification = (x, y) =( ---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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