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^3-9x^2+24x-12

Lösung

extrempunkte

f (x) = x^{3} - 9 x^{2} + 24 x - 12

Lösung

Maximum (2, 8), Minimum (4, 4)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x + 24

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 2

in

x^{3} - 9 x^{2} + 24 x - 12 : 8

Maximum (2, 8)

Stecke

x = 4

in

x^{3} - 9 x^{2} + 24 x - 12 : 4

Minimum (4, 4)

Maximum (2, 8), Minimum (4, 4)

Graph

Beliebte Beispiele

extreme f(x)=(x^3)/3-6x^2+32x

e x t re m e f (x) = \frac{x ^{3}}{3} - 6 x^{2} + 32 x

extreme y^2-x^2

e x t re m e y^{2} - x^{2}

extreme f(x)=4x-5x^{4/5}

e x t re m e f (x) = 4 x - 5 x^{\frac{4}{5}}

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

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

extreme (4x)/(x^2+1)

e x t re m e \frac{4 x}{x ^{2} + 1}