What is the critical f(x,y)=8xy+2x^4+2y^4 ?

The critical f(x,y)=8xy+2x^4+2y^4 is (0,0)

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critical f(x,y)=8xy+2x^4+2y^4

critical points

f (x, y) = 8 x y + 2 x^{4} + 2 y^{4}

(0, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

f (x) = x^{3} - 6 x^{2} + 9 x + 4

f (x, y) = 4 x^{2} + 8 x + 4 y^{2} + 4

\frac{2 x}{x ^{2} - 9}

y = \frac{x ^{2}}{x - 1}

f (x) = x^{2} (x - 1)^{3}

What is the critical f(x,y)=8xy+2x^4+2y^4 ?
The critical f(x,y)=8xy+2x^4+2y^4 is (0,0)