de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme f(x)=e^{x^2-3x-1}

Lösung

extrempunkte

f (x) = e^{x^{2} - 3 x - 1}

Lösung

Minimum (\frac{3}{2}, \frac{1}{e ^{\frac{13}{4}}})

Schritte zur Lösung

f^{'} (x) = e^{x^{2} - 3 x - 1} (2 x - 3)

Intervalle finden:

Absteigend

: - \infty < x < \frac{3}{2},

Ansteigend

: \frac{3}{2} < x < \infty

Stecke

x = \frac{3}{2}

in

e^{x^{2} - 3 x - 1} : \frac{1}{e ^{\frac{13}{4}}}

Minimum (\frac{3}{2}, \frac{1}{e ^{\frac{13}{4}}})

Graph

Beliebte Beispiele

extreme f(x)=(x^2-3)^2

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

extreme f(x)=(x-1)e^x

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

extreme (x^2+1)/(x^2-4)

e x t re m e \frac{x ^{2} + 1}{x ^{2} - 4}

extreme f(x,y)=-x^2-y^2+8x+6y

e x t re m e f (x, y) = - x^{2} - y^{2} + 8 x + 6 y

extreme f(x)=x+e^{-2x}

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