What is the extreme f(x)=-25x^2-30y^2+500x+300y+150 ?

The extreme f(x)=-25x^2-30y^2+500x+300y+150 is Maximum(10,5)

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extreme f(x)=-25x^2-30y^2+500x+300y+150

extreme points

f (x) = - 25 x^{2} - 30 y^{2} + 500 x + 300 y + 150

Maximum (10, 5)

Solution steps

Find the critical points:

(10, 5)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 60

D (x, y) = 3000

Check the sign of at each critical point

Check critical point

(10, 5) :

Maximum

Maximum (10, 5)

f (x, y) = - y^{3} + y x^{2} - 2 y^{2} x^{2} + 2 x^{4}

f (x) = e^{7 x^{2} + y^{2} + 1}

P (X, y) = 36 X^{2} - 9 y^{2}

\frac{5}{- 5 e x ^{2} - 5 y ^{2} + 5}

f (x) = x^{3} - y^{3} + 6 x y

What is the extreme f(x)=-25x^2-30y^2+500x+300y+150 ?
The extreme f(x)=-25x^2-30y^2+500x+300y+150 is Maximum(10,5)