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

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

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

critical points

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

(0, 0), (0, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, 0)

\frac{6 e ^{x}}{6 e ^{x} + 4}

f (x) = 5 + x + \frac{5}{x}

f (x) = x^{3} + x^{2} - 20 x

f (x) = 2 x^{3} - 36 x^{2} + 120 x - 5

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