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

Lösung

extrempunkte

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

Maximum (2, \frac{2}{e})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 2

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

Maximum (2, \frac{2}{e})

e x t re m e 1 - x + 1 + x + 2 x

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

e x t re m e f (x) = x^{3} + y^{3} - 3 x^{2} - 3 y^{2} - 9 x

e x t re m e f (x) = 2 x^{3} - 36 x^{2} + 210 x - 15

e x t re m e f (x) = - 4 cos (3 x) - 4