What is the critical f(x,y)=x^2-y^2sqrt(1-x^2-y^2) ?

The critical f(x,y)=x^2-y^2sqrt(1-x^2-y^2) is (0,0),(0,-sqrt(2/3)),(0,sqrt(2/3))

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critical f(x,y)=x^2-y^2sqrt(1-x^2-y^2)

critical points

f (x, y) = x^{2} - y^{2} 1 - x^{2} - y^{2}

(0, 0), (0, - \frac{2}{3}), (0, \frac{2}{3})

Solution steps

x^{2} - y^{2} 1 - x^{2} - y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, - \frac{2}{3}), (0, \frac{2}{3})

f (x) = \frac{1}{x}

e^{- ∣ x ∣}

y = x (a - x)

f (x, y) = y^{4} + 4 x^{2} y^{2} - 2 y^{2} + 2 x^{2} - 1

f (x) = 120 x^{2} - 2 x^{3}

What is the critical f(x,y)=x^2-y^2sqrt(1-x^2-y^2) ?
The critical f(x,y)=x^2-y^2sqrt(1-x^2-y^2) is (0,0),(0,-sqrt(2/3)),(0,sqrt(2/3))