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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

\frac{x ^{2} - 3}{x + 2}

f (x) = (x - 8) e^{x}

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

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

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

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