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

The critical f(x,y)=x^4-2x^2+y^3-3y is (0,1),(0,-1),(-1,1),(-1,-1),(1,1),(1,-1)

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

critical points

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

(0, 1), (0, - 1), (- 1, 1), (- 1, - 1), (1, 1), (1, - 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 1), (0, - 1), (- 1, 1), (- 1, - 1), (1, 1), (1, - 1)

What is the critical f(x,y)=x^4-2x^2+y^3-3y ?
The critical f(x,y)=x^4-2x^2+y^3-3y is (0,1),(0,-1),(-1,1),(-1,-1),(1,1),(1,-1)