What is the critical f(x,y)=x^4+4x^2y^2+4y^4+1 ?

The critical f(x,y)=x^4+4x^2y^2+4y^4+1 is (0,0)

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critical f(x,y)=x^4+4x^2y^2+4y^4+1

critical points

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

(0, 0)

Solution steps

x^{4} + 4 x^{2} y^{2} + 4 y^{4} + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

f (x) = 2 x^{2} + 5 x - 1

f (x) = x^{3} - 5 x^{2} + 3 x + 13

f (x) = \frac{3 x - 4}{x ^{2} + 1}

f (x) = x^{2} - 16 x + 10

f (x) = x^{6} + 2 x^{3} - 48

What is the critical f(x,y)=x^4+4x^2y^2+4y^4+1 ?
The critical f(x,y)=x^4+4x^2y^2+4y^4+1 is (0,0)