What is the critical f(x,y)=x^2-12xy+2y^4 ?

The critical f(x,y)=x^2-12xy+2y^4 is (0,0),(-18,-3),(18,3)

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critical f(x,y)=x^2-12xy+2y^4

critical points

f (x, y) = x^{2} - 12 x y + 2 y^{4}

(0, 0), (- 18, - 3), (18, 3)

Solution steps

x^{2} - 12 x y + 2 y^{4}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 18, - 3), (18, 3)

f (x, y) = x y (5 x + y - 15)

x^{3} - 12 x y + 8 y^{3}

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

f (x, y) = x^{2} - 8 x + y^{2} + 14 y

f (x) = 5 x^{\frac{4}{5}} - 4 x

What is the critical f(x,y)=x^2-12xy+2y^4 ?
The critical f(x,y)=x^2-12xy+2y^4 is (0,0),(-18,-3),(18,3)