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)=(1/12 x^3+x^2+3x+26/3)

Lösung

extrempunkte

f (x) = (\frac{1}{12} x^{3} + x^{2} + 3 x + \frac{26}{3})

Lösung

Maximum (- 6, \frac{26}{3}), Minimum (- 2, 6)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2}}{4} + 2 x + 3

Intervalle finden:

Ansteigend

: - \infty < x < - 6,

Absteigend

: - 6 < x < - 2,

Ansteigend

: - 2 < x < \infty

Stecke

x = - 6

in

\frac{1}{12} x^{3} + x^{2} + 3 x + \frac{26}{3} : \frac{26}{3}

Maximum (- 6, \frac{26}{3})

Stecke

x = - 2

in

\frac{1}{12} x^{3} + x^{2} + 3 x + \frac{26}{3} : 6

Minimum (- 2, 6)

Maximum (- 6, \frac{26}{3}), Minimum (- 2, 6)

Graph

Beliebte Beispiele

extreme f(x)=-5x^3+45x

e x t re m e f (x) = - 5 x^{3} + 45 x

extreme f(x)=-0.020724x^2+0.3692x-0.6287

e x t re m e f (x) = - 0.020724 x^{2} + 0.3692 x - 0.6287

extreme f(x)=(x^2-12)*e^{-2x}

e x t re m e f (x) = (x^{2} - 12) \cdot e^{- 2 x}

extreme f(x)=49x^2-10x+17

e x t re m e f (x) = 49 x^{2} - 10 x + 17

extreme y=x^7e^x+4

e x t re m e y = x^{7} e^{x} + 4