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

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

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

critical points

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

(0, 0), (0, - 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, - 2)

f (x) = e^{3 x} (36 x^{2} + 4)

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

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

f (x) = x^{3} - 6 x^{2} + 12 x

x 1 - x^{2}

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