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)=5x-60x^{1/3}

Lösung

extrempunkte

f (x) = 5 x - 60 x^{\frac{1}{3}}

Lösung

Minimum (- 8, 80), Maximum (0, 0), Minimum (8, - 80)

Schritte zur Lösung

f^{'} (x) = 5 - \frac{20}{x ^{\frac{2}{3}}}

Intervalle finden:

Absteigend

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

Ansteigend

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

Absteigend

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

Stecke

x = - 8

in

5 x - 60 x^{\frac{1}{3}} : 80

Minimum (- 8, 80)

Stecke

x = 0

in

5 x - 60 x^{\frac{1}{3}} : 0

Maximum (0, 0)

Stecke

x = 8

in

5 x - 60 x^{\frac{1}{3}} : - 80

Minimum (8, - 80)

Minimum (- 8, 80), Maximum (0, 0), Minimum (8, - 80)

Graph

Beliebte Beispiele

extreme f(x)= 1/6 (x^3-6x^2+9x+6)

e x t re m e f (x) = \frac{1}{6} (x^{3} - 6 x^{2} + 9 x + 6)

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

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

e x t re m e 16

extreme f(x)=-5+y-10x

e x t re m e f (x) = - 5 + y - 10 x

extreme f(x)=4x^3-12x^2+9x-1

e x t re m e f (x) = 4 x^{3} - 12 x^{2} + 9 x - 1