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In Exercises I through $22$, find the critical points of the given fianctions and classify each as a relative maximum, a relative minimum, or a saddle point. (Note: The algebra in Exercises $19$ through $22$ is challenging.)

$f(x, y)=x^3-4 x y+y^3$

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VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 12Let us consider a real valued function $~~f(x,y)~~$ given by

$f(x,y)=x^3-4xy+y^3$

Firstly, we will find all critical points of the function $~~f(x,y).$

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