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+(256)/(x^2)

Lösung

extrempunkte

f (x) = x + \frac{256}{x ^{2}}

Lösung

Minimum (8, 12)

Schritte zur Lösung

f^{'} (x) = 1 - \frac{512}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 8

in

x + \frac{256}{x ^{2}} : 12

Minimum (8, 12)

Graph

Beliebte Beispiele

extreme 3x^2-12x+9

e x t re m e 3 x^{2} - 12 x + 9

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

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

extreme f(x)=2x^3+3x^2-36x+1[-6.3]

e x t re m e f (x) = 2 x^{3} + 3 x^{2} - 36 x + 1 [- 6.3]

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

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

extreme f(x)=4x^3+6x^2-24x

e x t re m e f (x) = 4 x^{3} + 6 x^{2} - 24 x