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)=-2x^3+21x^2-36x+3

Lösung

extrempunkte

f (x) = - 2 x^{3} + 21 x^{2} - 36 x + 3

Lösung

Minimum (1, - 14), Maximum (6, 111)

Schritte zur Lösung

f^{'} (x) = - 6 x^{2} + 42 x - 36

Intervalle finden:

Absteigend

: - \infty < x < 1,

Ansteigend

: 1 < x < 6,

Absteigend

: 6 < x < \infty

Stecke

x = 1

in

- 2 x^{3} + 21 x^{2} - 36 x + 3 : - 14

Minimum (1, - 14)

Stecke

x = 6

in

- 2 x^{3} + 21 x^{2} - 36 x + 3 : 111

Maximum (6, 111)

Minimum (1, - 14), Maximum (6, 111)

Graph

Beliebte Beispiele

extreme f(x)=3x^2+5y^2-10xy-6y+1

e x t re m e f (x) = 3 x^{2} + 5 y^{2} - 10 x y - 6 y + 1

extreme 9600+280x-10x^2

e x t re m e 9600 + 280 x - 10 x^{2}

extreme 4x^3+9x^2-54x+6

e x t re m e 4 x^{3} + 9 x^{2} - 54 x + 6

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

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

extreme f(x)=\sqrt[3]{5x^3+5}

e x t re m e f (x) = 3 5 x^{3} + 5