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

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

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critical f(x,y)=x^2y-x^2-2y^2

critical points

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

(0, 0), (2, 1), (- 2, 1)

Solution steps

x^{2} y - x^{2} - 2 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, 1), (- 2, 1)

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

f (x) = - \frac{cos ( 2 x )}{2} - 2 sin (x)

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

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

f (x) = sin (x)

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