de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme 6y=2x^3-27x^2+108x

Lösung

extrempunkte

6 y = 2 x^{3} - 27 x^{2} + 108 x

Lösung

Maximum (3, \frac{45}{2}), Minimum (6, 18)

Schritte zur Lösung

f^{'} (x) = x^{2} - 9 x + 18

Intervalle finden:

Ansteigend

: - \infty < x < 3,

Absteigend

: 3 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 3

in

\frac{2 x ^{3} - 27 x ^{2} + 108 x}{6} : \frac{45}{2}

Maximum (3, \frac{45}{2})

Stecke

x = 6

in

\frac{2 x ^{3} - 27 x ^{2} + 108 x}{6} : 18

Minimum (6, 18)

Maximum (3, \frac{45}{2}), Minimum (6, 18)

Graph

Beliebte Beispiele

extreme |x|+|x+1|+|x^2+1|

e x t re m e ∣ x ∣ + ∣ x + 1 ∣ + x^{2} + 1

e x t re m e y = x z

extreme 2cos^2(x)

e x t re m e 2 cos^{2} (x)

extreme f(x,y)=4x^2+y^2+1

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

extreme f(x)=5e^{x^2-10x}

e x t re m e f (x) = 5 e^{x^{2} - 10 x}