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Beliebt Funktionen >

extreme f(x)=(2x^2)/(x-4)

Lösung

extrempunkte

f (x) = \frac{2 x ^{2}}{x - 4}

Lösung

Maximum (0, 0), Minimum (8, 32)

Schritte zur Lösung

f^{'} (x) = \frac{2 ( x ^{2} - 8 x )}{( x - 4 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Absteigend

: 4 < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 0

in

\frac{2 x ^{2}}{x - 4} : 0

Maximum (0, 0)

Stecke

x = 8

in

\frac{2 x ^{2}}{x - 4} : 32

Minimum (8, 32)

Maximum (0, 0), Minimum (8, 32)

Graph

Beliebte Beispiele

extreme f(x)=x^3+2x^2-7x,0<= x<= 2

e x t re m e f (x) = x^{3} + 2 x^{2} - 7 x, 0 \leq x \leq 2

extreme f(x)=(x-2)/(x+2)

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

extreme f(x)=2x^3-3x+10

e x t re m e f (x) = 2 x^{3} - 3 x + 10

extreme e^x(2x^2+x-8)

e x t re m e e^{x} (2 x^{2} + x - 8)

extreme f(x)=2x^3+18x^2+54x+50

e x t re m e f (x) = 2 x^{3} + 18 x^{2} + 54 x + 50