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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x, y) = 100 + 4 x - 9 y + 2 x y - x^{2} + y^{3}

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

f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 10

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

f (x, y) = x^{3} - y^{3} + x y^{2} + 5 x^{2} y

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