Consider the function f(x,y)=2xy-1/2(x^4-y^4)+1 (a) Find all critical points of f(x,y). Once finding them, give the function value at each critical point. (b) Classify all of the critical points using the 2nd Derivative Test.

Consider the function f(x,y)=2xy-1/2(x^4-y^4)+1 (a) Find all critical points of f(x,y). Once finding them, give the function value at each critical point. (b) Classify all of the critical points using the 2nd Derivative Test.

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.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 19E

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