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

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

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

critical points

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

(- \frac{1}{2}, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{1}{2}, 1)

f (x) = - x^{4} + 2 x^{3} + 8 x

f (x) = x^{2} + 4 x - 12

f (x) = 3 x^{4} - 6 x^{2} + 2

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

f (x) = 1 + \frac{1}{x}

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