What is the critical f(x)=xe^{-2x^2-2y^2} ?

The critical f(x)=xe^{-2x^2-2y^2} is (-1/2 ,0),(1/2 ,0),(-1/2 ,0),(1/2 ,0)

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critical f(x)=xe^{-2x^2-2y^2}

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = x^{4} - 14 x^{2}

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

f (x) = 35 x^{4} + 9 x^{2} - 4 x + 1

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

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

What is the critical f(x)=xe^{-2x^2-2y^2} ?
The critical f(x)=xe^{-2x^2-2y^2} is (-1/2 ,0),(1/2 ,0),(-1/2 ,0),(1/2 ,0)