What is the critical f(x)=x^3-2y^2-2y^4+3x^2y ?

The critical f(x)=x^3-2y^2-2y^4+3x^2y is (-1, 1/2),(-2,1)

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critical f(x)=x^3-2y^2-2y^4+3x^2y

critical points

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

(- 1, \frac{1}{2}), (- 2, 1)

Solution steps

x^{3} - 2 y^{2} - 2 y^{4} + 3 x^{2} y

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, \frac{1}{2}), (- 2, 1)

What is the critical f(x)=x^3-2y^2-2y^4+3x^2y ?
The critical f(x)=x^3-2y^2-2y^4+3x^2y is (-1, 1/2),(-2,1)