What is the extreme f(x,y)=100-x^2-y^2 ?

The extreme f(x,y)=100-x^2-y^2 is Maximum(0,0)

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extreme f(x,y)=100-x^2-y^2

extreme points

f (x, y) = 100 - x^{2} - y^{2}

Maximum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 2

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(0, 0) :

Maximum

Maximum (0, 0)

f (x, y) = 7 + 2 x + 4 y - x^{2} - 4 y^{2}

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

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

f (x) = 0.07 x^{3} - 1.6 x^{2} + 7.08 x + 5.48

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

What is the extreme f(x,y)=100-x^2-y^2 ?
The extreme f(x,y)=100-x^2-y^2 is Maximum(0,0)