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

解答

极值点

5 x y - 7 x^{2} + 3 x - 6 y + 2

鞍点 (\frac{6}{5}, \frac{69}{25})

求解步骤

找到临界点:

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

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

D (x, y) = - 25

检查在每个临界点处的符号

检查临界点

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

鞍点

鞍点 (\frac{6}{5}, \frac{69}{25})

e x t re m e f (x) = 3 x^{2} - 6 x + 2

e x t re m e f (x) = 4 x^{3} - 48 x - 1

e x t re m e f (x) = x 465 - x

e x t re m e f (x) = 3 x^{2} + 2

e x t re m e x^{2} + x - 6