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+3x^{2/3}

Lösung

extrempunkte

f (x) = x + 3 x^{\frac{2}{3}}

Lösung

Minimum (- 8, 4), Maximum (0, 0)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - \frac{1}{8},

Ansteigend

: - \frac{1}{8} < x < \infty

Stecke

x = - 8

in

x + 3 x^{\frac{2}{3}} : 4

Minimum (- 8, 4)

Stecke

x = 0

in

x + 3 x^{\frac{2}{3}} : 0

Maximum (0, 0)

Minimum (- 8, 4), Maximum (0, 0)

Graph

Beliebte Beispiele

extreme f(x)=x^3-3x^2-9x+10

e x t re m e f (x) = x^{3} - 3 x^{2} - 9 x + 10

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

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

extreme f(x,y)=xy^2+x^2y

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

extreme f(x)= 1/(x+2)

e x t re m e f (x) = \frac{1}{x + 2}

extreme f(x,y)=x^3+y^3-3x^2-6y^2-9x

e x t re m e f (x, y) = x^{3} + y^{3} - 3 x^{2} - 6 y^{2} - 9 x