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

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

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

critical points

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

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

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

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

f (x) = \frac{( x - 1 )}{x + 3}

f (x) = x^{2} + y^{2} + x^{2} y + 4

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

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