de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme y=-2x^3+540x^2

Lösung

extrempunkte

y = - 2 x^{3} + 540 x^{2}

Lösung

Minimum (0, 0), Maximum (180, 5832000)

Schritte zur Lösung

f^{'} (x) = - 6 x^{2} + 1080 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 180,

Absteigend

: 180 < x < \infty

Stecke

x = 0

in

- 2 x^{3} + 540 x^{2} : 0

Minimum (0, 0)

Stecke

x = 180

in

- 2 x^{3} + 540 x^{2} : 5832000

Maximum (180, 5832000)

Minimum (0, 0), Maximum (180, 5832000)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+4y^2-3x+1

e x t re m e f (x, y) = x^{3} + 4 y^{2} - 3 x + 1

extreme R(x,y)=-x^2-y^2+x+2y-1

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

extreme f(x)=9x^3-7x^2+3x+10

e x t re m e f (x) = 9 x^{3} - 7 x^{2} + 3 x + 10

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

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

extreme x^2-6x+10

e x t re m e x^{2} - 6 x + 10