What is the extreme f(x,y)=-x^2-y^2+20x+20y ?

The extreme f(x,y)=-x^2-y^2+20x+20y is Maximum(10,10)

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extreme f(x,y)=-x^2-y^2+20x+20y

extreme points

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

Maximum (10, 10)

Solution steps

Find the critical points:

(10, 10)

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

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(10, 10) :

Maximum

Maximum (10, 10)

f (x) = x + \frac{9}{x} + 4, 1 \leq x \leq 18

f (x) = - 2 x + 3 ln (2 x)

f (x, y) = 2 - x + y

f (x) = 16 x + 9 x^{- 1}

- 1683 x^{2} + 83000 x + 10000

What is the extreme f(x,y)=-x^2-y^2+20x+20y ?
The extreme f(x,y)=-x^2-y^2+20x+20y is Maximum(10,10)