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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- \frac{4}{3}, \frac{122}{27}), Minimum (2, - 14)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

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

Absteigend

: - \frac{4}{3} < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - \frac{4}{3}

in

x^{3} - x^{2} - 8 x - 2 : \frac{122}{27}

Maximum (- \frac{4}{3}, \frac{122}{27})

Stecke

x = 2

in

x^{3} - x^{2} - 8 x - 2 : - 14

Minimum (2, - 14)

Maximum (- \frac{4}{3}, \frac{122}{27}), Minimum (2, - 14)

Graph

Beliebte Beispiele

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