What is the extreme f(x)=-x^2-7y^2+9x-6y+2 ?

The extreme f(x)=-x^2-7y^2+9x-6y+2 is Maximum(9/2 ,-3/7)

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extreme f(x)=-x^2-7y^2+9x-6y+2

extreme

Maximum (\frac{9}{2}, - \frac{3}{7})

Solution steps

Find the critical points:

(\frac{9}{2}, - \frac{3}{7})

\frac{\partial ^{2} f}{\partial x ^{2}} = - 14

D (x, y) = 28

Check the sign of at each critical point

Check critical point

(\frac{9}{2}, - \frac{3}{7}) :

Maximum

Maximum (\frac{9}{2}, - \frac{3}{7})

What is the extreme f(x)=-x^2-7y^2+9x-6y+2 ?
The extreme f(x)=-x^2-7y^2+9x-6y+2 is Maximum(9/2 ,-3/7)