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

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

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

critical points

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

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

Solution steps

e^{- y^{2} - x^{2}} (y^{2} + x^{2})

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = x^{2} + 10 x + 25

f (x) = 2 sin (x) + cos (2 x)

f (x) = (x - 5)^{2}

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

f (x) = 3 x^{4} - 16 x^{3} + 6 x^{2} + 72 x + 1

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