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

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

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

critical points

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

(0, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

f (x) = - x^{3} - x

f (x) = x^{3} + 6 x^{2} - 135 x

f (x) = (x - 1)^{2} (x + 3)

f (x) = x - 2 sin (x)

f (x, y) = x^{3} + y^{3} - 6 y^{2} - 3 x + 9

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