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Beliebt Funktionen >

extreme f(x)=x(x-1)

Lösung

extrempunkte

f (x) = x (x - 1)

Lösung

Minimum (\frac{1}{2}, - \frac{1}{4})

Schritte zur Lösung

f^{'} (x) = - 1 + 2 x

Intervalle finden:

Absteigend

: - \infty < x < \frac{1}{2},

Ansteigend

: \frac{1}{2} < x < \infty

Stecke

x = \frac{1}{2}

in

x (x - 1) : - \frac{1}{4}

Minimum (\frac{1}{2}, - \frac{1}{4})

Graph

Beliebte Beispiele

extreme f(x)=-6sin^2(x)

e x t re m e f (x) = - 6 sin^{2} (x)

extreme f(x)=x^4-72x^2+3

e x t re m e f (x) = x^{4} - 72 x^{2} + 3

extreme f(x)=x^4-72x^2+7

e x t re m e f (x) = x^{4} - 72 x^{2} + 7

extreme f(x,y)=x^2+6x+y^3-6y^2+10

e x t re m e f (x, y) = x^{2} + 6 x + y^{3} - 6 y^{2} + 10

extreme f(x)=4x+324x,0<x<infinity

e x t re m e f (x) = 4 x + 324 x, 0 < x < \infty