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^2-8))/((x-3))

Lösung

extrempunkte

f (x) = \frac{( x ^{2} - 8 )}{( x - 3 )}

Lösung

Maximum (2, 4), Minimum (4, 8)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 6 x + 8}{( x - 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 3,

Absteigend

: 3 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 2

in

\frac{x ^{2} - 8}{x - 3} : 4

Maximum (2, 4)

Stecke

x = 4

in

\frac{x ^{2} - 8}{x - 3} : 8

Minimum (4, 8)

Maximum (2, 4), Minimum (4, 8)

Graph

Beliebte Beispiele

extreme f(x)=4.3x-0.01x^2-8

e x t re m e f (x) = 4.3 x - 0.01 x^{2} - 8

extreme f(x)=x^5-3125x,-7<= x<= 7

e x t re m e f (x) = x^{5} - 3125 x, - 7 \leq x \leq 7

extreme (-2ln(x)-2)/(x^2)

e x t re m e \frac{- 2 ln ( x ) - 2}{x ^{2}}

extreme f(x)=x^2+(200)/x ,[0,infinity ]

e x t re m e f (x) = x^{2} + \frac{200}{x}, [0, \infty]

extreme 3x^2-6x-9,0<= x<= 4

e x t re m e 3 x^{2} - 6 x - 9, 0 \leq x \leq 4