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(x-6)^4

Lösung

extrempunkte

f (x) = x^{3} (x - 6)^{4}

Lösung

Sattel (0, 0), Maximum (\frac{18}{7}, \frac{1934917632}{823543}), Minimum (6, 0)

Schritte zur Lösung

f^{'} (x) = x^{2} (x - 6)^{3} (7 x - 18)

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{18}{7},

Absteigend

: \frac{18}{7} < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

x^{3} (x - 6)^{4} : 0

Sattel (0, 0)

Stecke

x = \frac{18}{7}

in

x^{3} (x - 6)^{4} : \frac{1934917632}{823543}

Maximum (\frac{18}{7}, \frac{1934917632}{823543})

Stecke

x = 6

in

x^{3} (x - 6)^{4} : 0

Minimum (6, 0)

Sattel (0, 0), Maximum (\frac{18}{7}, \frac{1934917632}{823543}), Minimum (6, 0)

Graph

Beliebte Beispiele

extreme f(x)= 2/3 x^3-2x^2+44/3

e x t re m e f (x) = \frac{2}{3} x^{3} - 2 x^{2} + \frac{44}{3}

extreme f(x)=2x^3-24x^2+72x+7

e x t re m e f (x) = 2 x^{3} - 24 x^{2} + 72 x + 7

extreme y=x^2log_{6}(x)

e x t re m e y = x^{2} lo g_{6} (x)

extreme f(x)=xsqrt(x^2+9)

e x t re m e f (x) = x x^{2} + 9

extreme f(x)=(x+1)^2(x-4)^5(x-7)^4

e x t re m e f (x) = (x + 1)^{2} (x - 4)^{5} (x - 7)^{4}