How do you show that f(x,y)= x^4 + y^4 has a saddle point at (x,y) = (0,0)?

Dana Russo

Dana Russo

Answered question

2022-10-08

How do you show that f ( x , y ) = x 4 + y 4 has a saddle point at (x,y) = (0,0)?

Answer & Explanation

Radman76

Radman76

Beginner2022-10-09Added 7 answers

I don't believe it foes have a saddle point at ( 0 , 0 ) .
f ( 0 , 0 ) = 0 but for any other ( x , y ) , we have f ( x , y ) > 0
It looks like f has an absolute minimum at ( 0 , 0 )

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