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

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

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

critical points

f (x) = 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)

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

x^{2} + x - 2

f (x, y) = x^{3} - 2 x y + y^{2} + 1

- 2 e^{- x^{2}} x

f (x) = \frac{3 x ^{2} - 3 x}{2 x - x ^{2}}

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