de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme f(z)=z+z^3-2z^2-4

Lösung

extrempunkte

f (z) = z + z^{3} - 2 z^{2} - 4

Lösung

Maximum (\frac{1}{3}, - \frac{104}{27}), Minimum (1, - 4)

Schritte zur Lösung

f^{'} (z) = 3 z^{2} - 4 z + 1

Intervalle finden:

Ansteigend

: - \infty < z < \frac{1}{3},

Absteigend

: \frac{1}{3} < z < 1,

Ansteigend

: 1 < z < \infty

Stecke

z = \frac{1}{3}

in

z + z^{3} - 2 z^{2} - 4 : - \frac{104}{27}

Maximum (\frac{1}{3}, - \frac{104}{27})

Stecke

z = 1

in

z + z^{3} - 2 z^{2} - 4 : - 4

Minimum (1, - 4)

Maximum (\frac{1}{3}, - \frac{104}{27}), Minimum (1, - 4)

Graph

Beliebte Beispiele

extreme f(x)=1+1/x+5/(x^2)+1/(x^3)

e x t re m e f (x) = 1 + \frac{1}{x} + \frac{5}{x ^{2}} + \frac{1}{x ^{3}}

extreme f(x)=(x^2-0.8x+0.32)/(1.6-2x)

e x t re m e f (x) = \frac{x ^{2} - 0.8 x + 0.32}{1.6 - 2 x}

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

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

extreme f(x)=|(x-2)/(x+5)|-3

e x t re m e f (x) = \frac{x - 2}{x + 5} - 3

extreme 2x^4-x^2+5

e x t re m e 2 x^{4} - x^{2} + 5