What is the extreme 50-3x^2-4x+2xy-8y^2+78y ?

The extreme 50-3x^2-4x+2xy-8y^2+78y is Maximum(1,5)

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extreme 50-3x^2-4x+2xy-8y^2+78y

extreme points

50 - 3 x^{2} - 4 x + 2 x y - 8 y^{2} + 78 y

Maximum (1, 5)

Solution steps

Find the critical points:

(1, 5)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 16

D (x, y) = 92

Check the sign of at each critical point

Check critical point

(1, 5) :

Maximum

Maximum (1, 5)

- 3 x^{2} + 12 x + 120

x^{2} + x y + y^{2} - 25 y + 208

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 11

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

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

What is the extreme 50-3x^2-4x+2xy-8y^2+78y ?
The extreme 50-3x^2-4x+2xy-8y^2+78y is Maximum(1,5)