de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme x^3-x+1

Lösung

extrempunkte

x^{3} - x + 1

Lösung

Maximum (- \frac{1}{3}, \frac{2}{3 3} + 1), Minimum (\frac{1}{3}, - \frac{2}{3 3} + 1)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{3},

Absteigend

: - \frac{1}{3} < x < \frac{1}{3},

Ansteigend

: \frac{1}{3} < x < \infty

Stecke

x = - \frac{1}{3}

in

x^{3} - x + 1 : \frac{2}{3 3} + 1

Maximum (- \frac{1}{3}, \frac{2}{3 3} + 1)

Stecke

x = \frac{1}{3}

in

x^{3} - x + 1 : - \frac{2}{3 3} + 1

Minimum (\frac{1}{3}, - \frac{2}{3 3} + 1)

Maximum (- \frac{1}{3}, \frac{2}{3 3} + 1), Minimum (\frac{1}{3}, - \frac{2}{3 3} + 1)

Graph

Beliebte Beispiele

domäne f(x)=(2x)/(x+3)

d o main f (x) = \frac{2 x}{x + 3}

symmetrie y=-2x^2-10x

sy mm e t ry y = - 2 x^{2} - 10 x

asymptoten f(x)=4(0.76)^x-2

a sy m pt o t es f (x) = 4 (0.76)^{x} - 2

asymptoten f(x)=(3x-1)/(x-1)

a sy m pt o t es f (x) = \frac{3 x - 1}{x - 1}

asymptoten f(x)=xe^{1/x}

a sy m pt o t es f (x) = x e^{\frac{1}{x}}