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Beliebt Funktionen >

extreme f(x)=x^4-8x^3+2

Lösung

extrempunkte

f (x) = x^{4} - 8 x^{3} + 2

Lösung

Sattel (0, 2), Minimum (6, - 430)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 24 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

x^{4} - 8 x^{3} + 2 : 2

Sattel (0, 2)

Stecke

x = 6

in

x^{4} - 8 x^{3} + 2 : - 430

Minimum (6, - 430)

Sattel (0, 2), Minimum (6, - 430)

Graph

Beliebte Beispiele

extreme y=2x-5x^{2/5}

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