What is the extreme f(x,y)=sqrt(y)+sqrt(81-x^2-y^2) ?

The extreme f(x,y)=sqrt(y)+sqrt(81-x^2-y^2) is None

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extreme f(x,y)=sqrt(y)+sqrt(81-x^2-y^2)

extreme points

f (x, y) = y + 81 - x^{2} - y^{2}

None

Solution steps

Find the critical points:

None

y + 81 - x^{2} - y^{2}

has no critical points, therefore there are no extreme points

None

f (x) = \frac{2 x ^{3}}{3} + \frac{7 x ^{2}}{2} - 4 x

f (x) = \frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 2 x + \frac{4}{3}

- 3 sin (2 x) - 4

f (x) = tan (x), - \frac{π}{6} \leq x \leq \frac{π}{4}

f (x) = x^{4} - 4 x^{3} - 8

What is the extreme f(x,y)=sqrt(y)+sqrt(81-x^2-y^2) ?
The extreme f(x,y)=sqrt(y)+sqrt(81-x^2-y^2) is None