extreme f(x)=xe^{1-x/2}

Lösung

extrempunkte

f (x) = x e^{1 - \frac{x}{2}}

Maximum (2, 2)

Schritte zur Lösung

f^{'} (x) = e^{- \frac{x}{2} + 1} (1 - \frac{x}{2})

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 2

x e^{1 - \frac{x}{2}} : 2

Maximum (2, 2)

e x t re m e f (x) = 3 x^{2} + 6 x + 1

e x t re m e f (x, y) = y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

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

e x t re m e f (x) = \frac{2}{3} x^{3} - x^{2} - 12 x + 3

e x t re m e f (x) = - x^{3} + 3 x^{2} + 45 x - 7