What is the critical f(x,y)=sqrt(x^2+y^2-1)+sqrt(4-x^2-y^2) ?

The critical f(x,y)=sqrt(x^2+y^2-1)+sqrt(4-x^2-y^2) is (0,sqrt(5/2)),(0,-sqrt(5/2))

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critical f(x,y)=sqrt(x^2+y^2-1)+sqrt(4-x^2-y^2)

critical points

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

(0, \frac{5}{2}), (0, - \frac{5}{2})

Solution steps

x^{2} + y^{2} - 1 + 4 - x^{2} - y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, \frac{5}{2}), (0, - \frac{5}{2})

f (x) = ln (4 - x^{2})

f (x, y) = y x - y^{2} - 3 x + 11 y

y = 3 x^{2} - 4 x + 7

f (x, y) = x^{2} y - x^{2} - \frac{1}{3} y^{3}

f (x) = \frac{4 e ^{x}}{4 e ^{x} + 4}

What is the critical f(x,y)=sqrt(x^2+y^2-1)+sqrt(4-x^2-y^2) ?
The critical f(x,y)=sqrt(x^2+y^2-1)+sqrt(4-x^2-y^2) is (0,sqrt(5/2)),(0,-sqrt(5/2))