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

The extreme f(x,y)=sqrt(4-x^2-y^2)+sqrt(1-x^2) is None

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

extreme points

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

None

Solution steps

Find the critical points:

None

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

has no critical points, therefore there are no extreme points

None

f (x) = x^{2} y + y^{3} - 27 y

- \frac{1}{2} x^{2} - 4 x - 2

\frac{6 x ^{2}}{x ^{2} - 4}

f (x) = 6 x^{2} + 6 y^{2} + 6 x y + 36 x - 54 y - 5

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

What is the extreme f(x,y)=sqrt(4-x^2-y^2)+sqrt(1-x^2) ?
The extreme f(x,y)=sqrt(4-x^2-y^2)+sqrt(1-x^2) is None