What is the extreme 5xy-7x^2+3x-6y+2 ?

The extreme 5xy-7x^2+3x-6y+2 is Saddle(6/5 , 69/25)

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extreme 5xy-7x^2+3x-6y+2

extreme

Saddle (\frac{6}{5}, \frac{69}{25})

Solution steps

Find the critical points:

(\frac{6}{5}, \frac{69}{25})

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - 25

Check the sign of at each critical point

Check critical point

(\frac{6}{5}, \frac{69}{25}) :

Saddle

Saddle (\frac{6}{5}, \frac{69}{25})

What is the extreme 5xy-7x^2+3x-6y+2 ?
The extreme 5xy-7x^2+3x-6y+2 is Saddle(6/5 , 69/25)