extreme f(x,y)=2x^2+3xy+4y^2+2x-10y

解答

极值点

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 2 x - 10 y

极小值 (- 2, 2)

求解步骤

找到临界点:

(- 2, 2)

\frac{\partial ^{2} f}{\partial x ^{2}} = 8

D (x, y) = 23

检查在每个临界点处的符号

检查临界点

(- 2, 2) :

极小值

极小值 (- 2, 2)

e x t re m e f (x) = x e^{- 6 x}, 0 \leq x \leq 2

e x t re m e f (x) = x^{6} (x - 4)^{5}

e x t re m e P (q, s) = q + 8 + s

e x t re m e f (x) = (x - 6) \cdot (3 x + 3)

e x t re m e f (x) = - (x - 1)^{2} (x - 5)