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

The critical f(x,y)=2xye^{-x^2-y^2} is

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

\frac{36 - 36 x}{5 x ^{\frac{1}{5}}}

5 sin (x)

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

y = sin (x) + cos (x)

y = x^{4} - 4 x^{3} + 2

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