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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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