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Beliebt Funktionen >

extreme f(x)= 1/9 (x^4-4x^3)

Lösung

extrempunkte

f (x) = \frac{1}{9} (x^{4} - 4 x^{3})

Lösung

Sattel (0, 0), Minimum (3, - 3)

Schritte zur Lösung

f^{'} (x) = \frac{1}{9} (4 x^{3} - 12 x^{2})

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 0

in

\frac{1}{9} (x^{4} - 4 x^{3}) : 0

Sattel (0, 0)

Stecke

x = 3

in

\frac{1}{9} (x^{4} - 4 x^{3}) : - 3

Minimum (3, - 3)

Sattel (0, 0), Minimum (3, - 3)

Graph

Beliebte Beispiele

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

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

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

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

extreme f(x)=-2x^2+12x

e x t re m e f (x) = - 2 x^{2} + 12 x

extreme cos(x)-sin(x)

e x t re m e cos (x) - sin (x)

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

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