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^5-5x^4+8

Lösung

extrempunkte

f (x) = x^{5} - 5 x^{4} + 8

Lösung

Maximum (0, 8), Minimum (4, - 248)

Schritte zur Lösung

f^{'} (x) = 5 x^{4} - 20 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

x^{5} - 5 x^{4} + 8 : 8

Maximum (0, 8)

Stecke

x = 4

in

x^{5} - 5 x^{4} + 8 : - 248

Minimum (4, - 248)

Maximum (0, 8), Minimum (4, - 248)

Graph

Beliebte Beispiele

extreme f(x)=2x^3-x^2+8x

e x t re m e f (x) = 2 x^{3} - x^{2} + 8 x

extreme f(x)=2x^3+3x^2-180x

e x t re m e f (x) = 2 x^{3} + 3 x^{2} - 180 x

extreme f(x)=sqrt(16-x^2-4y^2)

e x t re m e f (x) = 16 - x^{2} - 4 y^{2}

extreme f(x)=2x^4-32x^3+4

e x t re m e f (x) = 2 x^{4} - 32 x^{3} + 4

extreme f(x,y)=sqrt(1-(x^2)/4-y^2)

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