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+(13)/x

Lösung

extrempunkte

f (x) = x + \frac{13}{x}

Lösung

Maximum (- 13, - 213), Minimum (13, 213)

Schritte zur Lösung

f^{'} (x) = 1 - \frac{13}{x ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 13,

Absteigend

: - 13 < x < 0,

Absteigend

: 0 < x < 13,

Ansteigend

: 13 < x < \infty

Stecke

x = - 13

in

x + \frac{13}{x} : - 213

Maximum (- 13, - 213)

Stecke

x = 13

in

x + \frac{13}{x} : 213

Minimum (13, 213)

Maximum (- 13, - 213), Minimum (13, 213)

Graph

Beliebte Beispiele

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

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

extreme f(x)=3x^{2/3}-2x[-1.1]

e x t re m e f (x) = 3 x^{\frac{2}{3}} - 2 x [- 1.1]

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

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

extreme f(x,y)= 1/3 sqrt(36-4x^2-9y^2)

e x t re m e f (x, y) = \frac{1}{3} 36 - 4 x^{2} - 9 y^{2}

extreme f(x)=-x^7ln(3x),(0,4)

e x t re m e f (x) = - x^{7} ln (3 x), (0, 4)