What is the critical f(x,y)=x^2y+2y^2-2xy+6 ?

The critical f(x,y)=x^2y+2y^2-2xy+6 is (2,0),(0,0),(1, 1/4)

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critical f(x,y)=x^2y+2y^2-2xy+6

critical points

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

(2, 0), (0, 0), (1, \frac{1}{4})

Solution steps

x^{2} y + 2 y^{2} - 2 x y + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, 0), (0, 0), (1, \frac{1}{4})

What is the critical f(x,y)=x^2y+2y^2-2xy+6 ?
The critical f(x,y)=x^2y+2y^2-2xy+6 is (2,0),(0,0),(1, 1/4)