What is the extreme y=f(x,y)=-2x^2-2xz-4z^2+40x+90z-150 ?

The extreme y=f(x,y)=-2x^2-2xz-4z^2+40x+90z-150 is Maximum(5,10)

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extreme y=f(x,y)=-2x^2-2xz-4z^2+40x+90z-150

extreme

Maximum (5, 10)

Solution steps

Find the critical points:

(5, 10)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 8

D (x, z) = 28

Check the sign of at each critical point

Check critical point

(5, 10) :

Maximum

Maximum (5, 10)

What is the extreme y=f(x,y)=-2x^2-2xz-4z^2+40x+90z-150 ?
The extreme y=f(x,y)=-2x^2-2xz-4z^2+40x+90z-150 is Maximum(5,10)