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Beliebt Funktionen >

extreme f(x)=x^4-x

Lösung

extrempunkte

f (x) = x^{4} - x

Lösung

Minimum (\frac{1}{3 4}, - \frac{3}{4 3 4})

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 1

Intervalle finden:

Absteigend

: - \infty < x < 3 \frac{1}{4},

Ansteigend

: 3 \frac{1}{4} < x < \infty

Stecke

x = \frac{1}{3 4}

in

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

Minimum (\frac{1}{3 4}, - \frac{3}{4 3 4})

Graph

Beliebte Beispiele

extreme f(t)=10e^{at}

e x t re m e f (t) = 10 e^{a t}

extreme f(x)=6x+(384)/x

e x t re m e f (x) = 6 x + \frac{384}{x}

extreme f(x)=-2x^3+36x^2-192x

e x t re m e f (x) = - 2 x^{3} + 36 x^{2} - 192 x

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extreme f(x)=x(23-41+2x)(41/2-x)

e x t re m e f (x) = x (23 - 41 + 2 x) (\frac{41}{2} - x)