What is the extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9 ?

The extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9 is Maximum(-6,5)

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extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9

extreme

Maximum (- 6, 5)

Solution steps

Find the critical points:

(- 6, 5)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 4

D (x, y) = 60

Check the sign of at each critical point

Check critical point

(- 6, 5) :

Maximum

Maximum (- 6, 5)

What is the extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9 ?
The extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9 is Maximum(-6,5)