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

The extreme f(x)=-x^2-y^2+10x+10y is Maximum(5,5)

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extreme f(x)=-x^2-y^2+10x+10y

extreme points

f (x) = - x^{2} - y^{2} + 10 x + 10 y

Maximum (5, 5)

Solution steps

Find the critical points:

(5, 5)

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

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(5, 5) :

Maximum

Maximum (5, 5)

2 cos (x) + cos^{2} (x)

x^{\frac{19}{9}} + x^{\frac{10}{9}}

- 10 x^{4} + 4 x^{2} - 6

f (x) = \frac{( e ^{x} )}{1 + x ^{2}}

f (x) = 2 (4 x)^{x}

What is the extreme f(x)=-x^2-y^2+10x+10y ?
The extreme f(x)=-x^2-y^2+10x+10y is Maximum(5,5)