extreme f(x,y)=2x^2+2y^2-16x+16y

解答

极值点

f (x, y) = 2 x^{2} + 2 y^{2} - 16 x + 16 y

极小值 (4, - 4)

求解步骤

找到临界点:

(4, - 4)

\frac{\partial ^{2} f}{\partial x ^{2}} = 4

D (x, y) = 16

检查在每个临界点处的符号

检查临界点

(4, - 4) :

极小值

极小值 (4, - 4)

e x t re m e x^{2} (2 + y^{2}) + y ln (y)

e x t re m e 3 x 2 + 3 y 2 + 3 z 2 + 2 y - 2 z = 9

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

e x t re m e f (x) = 0.00324 x^{2} - 0.501 x + 33.684

e x t re m e f (x, y) = (x - y)^{2} - x^{4} - y