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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- 4, \frac{80}{3}), Minimum (2, - \frac{28}{3})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 4,

Absteigend

: - 4 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 4

in

\frac{x ^{3}}{3} + x^{2} - 8 x : \frac{80}{3}

Maximum (- 4, \frac{80}{3})

Stecke

x = 2

in

\frac{x ^{3}}{3} + x^{2} - 8 x : - \frac{28}{3}

Minimum (2, - \frac{28}{3})

Maximum (- 4, \frac{80}{3}), Minimum (2, - \frac{28}{3})

Graph

Beliebte Beispiele

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