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)=8x^3-x^4=x^3(8-x)

Lösung

extrempunkte

f (x) = 8 x^{3} - x^{4} = x^{3} (8 - x)

Lösung

Sattel (0, 0), Maximum (6, 432)

Schritte zur Lösung

f^{'} (x) = x^{2} (3 (8 - x) - x)

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 6,

Absteigend

: 6 < x < \infty

Stecke

x = 0

in

x^{3} (8 - x) : 0

Sattel (0, 0)

Stecke

x = 6

in

x^{3} (8 - x) : 432

Maximum (6, 432)

Sattel (0, 0), Maximum (6, 432)

Graph

Beliebte Beispiele

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

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

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

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

extreme f(x)=x^3-3/2 x^2,-3<= x<= 6

e x t re m e f (x) = x^{3} - \frac{3}{2} x^{2}, - 3 \leq x \leq 6

extreme f(x,y)=e^{2x}-x^3y^5

e x t re m e f (x, y) = e^{2 x} - x^{3} y^{5}

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

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