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^5-6x^4

Lösung

extrempunkte

f (x) = 2 x^{5} - 6 x^{4}

Lösung

Maximum (0, 0), Minimum (\frac{12}{5}, - \frac{124416}{3125})

Schritte zur Lösung

f^{'} (x) = 10 x^{4} - 24 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{12}{5},

Ansteigend

: \frac{12}{5} < x < \infty

Stecke

x = 0

in

2 x^{5} - 6 x^{4} : 0

Maximum (0, 0)

Stecke

x = \frac{12}{5}

in

2 x^{5} - 6 x^{4} : - \frac{124416}{3125}

Minimum (\frac{12}{5}, - \frac{124416}{3125})

Maximum (0, 0), Minimum (\frac{12}{5}, - \frac{124416}{3125})

Graph

Beliebte Beispiele

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

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

extreme f(x)=(x^3)/(x^3+1)

e x t re m e f (x) = \frac{x ^{3}}{x ^{3} + 1}

extreme f(x)=98y^2+x^2-x^2y

e x t re m e f (x) = 98 y^{2} + x^{2} - x^{2} y

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

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

extreme f(x)=x(6-2x)^2

e x t re m e f (x) = x (6 - 2 x)^{2}