What is the critical f(x,y)=(x^2-y^2)(x^2+y^2) ?

The critical f(x,y)=(x^2-y^2)(x^2+y^2) is (0,0)

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critical f(x,y)=(x^2-y^2)(x^2+y^2)

critical points

f (x, y) = (x^{2} - y^{2}) (x^{2} + y^{2})

(0, 0)

Solution steps

(x^{2} - y^{2}) (x^{2} + y^{2})

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

x^{2} + 4

f (x, y) = x^{3} + y^{3} + 3 x^{2} - 3 y^{2} - 8

f (x) = x^{2} - 4 x + 1

f (x) = 3 x^{2} ln (x)

2 x^{3} + 6 x^{2} - 18 x

What is the critical f(x,y)=(x^2-y^2)(x^2+y^2) ?
The critical f(x,y)=(x^2-y^2)(x^2+y^2) is (0,0)