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)=x+3(1-x)^{1/3}

Lösung

extrempunkte

f (x) = x + 3 (1 - x)^{\frac{1}{3}}

Lösung

Minimum (0, 3), Maximum (2, - 1)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

x + 3 (1 - x)^{\frac{1}{3}} : 3

Minimum (0, 3)

Stecke

x = 2

in

x + 3 (1 - x)^{\frac{1}{3}} : - 1

Maximum (2, - 1)

Minimum (0, 3), Maximum (2, - 1)

Graph

Beliebte Beispiele

extreme 10+sqrt(x^2+6x+10)

e x t re m e 10 + x^{2} + 6 x + 10

extreme f(x)=(1-2x-x^2+4y^2-2y^2)

e x t re m e f (x) = (1 - 2 x - x^{2} + 4 y^{2} - 2 y^{2})

extreme 3+6x^2-4x^3

e x t re m e 3 + 6 x^{2} - 4 x^{3}

extreme F(x,y)=15x^2-22xy+24x+8y^2-16y

e x t re m e F (x, y) = 15 x^{2} - 22 x y + 24 x + 8 y^{2} - 16 y

e x t re m e x^{6}