What is the extreme E(a,b)=(a+b)^2-(a-b)^2 ?

The extreme E(a,b)=(a+b)^2-(a-b)^2 is Saddle(0,0)

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extreme E(a,b)=(a+b)^2-(a-b)^2

extreme points

E (a, b) = (a + b)^{2} - (a - b)^{2}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial a ^{2}} = 0

D (a, b) = - 16

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

What is the extreme E(a,b)=(a+b)^2-(a-b)^2 ?
The extreme E(a,b)=(a+b)^2-(a-b)^2 is Saddle(0,0)