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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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