What is the extreme f(x,y)=5xy-7x^2-y^2+3x-6y+2 ?

The extreme f(x,y)=5xy-7x^2-y^2+3x-6y+2 is Maximum(-8,-23)

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extreme f(x,y)=5xy-7x^2-y^2+3x-6y+2

extreme points

f (x, y) = 5 x y - 7 x^{2} - y^{2} + 3 x - 6 y + 2

Maximum (- 8, - 23)

Solution steps

Find the critical points:

(- 8, - 23)

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

D (x, y) = 3

Check the sign of at each critical point

Check critical point

(- 8, - 23) :

Maximum

Maximum (- 8, - 23)

What is the extreme f(x,y)=5xy-7x^2-y^2+3x-6y+2 ?
The extreme f(x,y)=5xy-7x^2-y^2+3x-6y+2 is Maximum(-8,-23)