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Beliebt Funktionen >

extreme f(x)=x^3-5x^2-8x+2

Lösung

extrempunkte

f (x) = x^{3} - 5 x^{2} - 8 x + 2

Lösung

Maximum (- \frac{2}{3}, \frac{130}{27}), Minimum (4, - 46)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 10 x - 8

Intervalle finden:

Ansteigend

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

Absteigend

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

Ansteigend

: 4 < x < \infty

Stecke

x = - \frac{2}{3}

in

x^{3} - 5 x^{2} - 8 x + 2 : \frac{130}{27}

Maximum (- \frac{2}{3}, \frac{130}{27})

Stecke

x = 4

in

x^{3} - 5 x^{2} - 8 x + 2 : - 46

Minimum (4, - 46)

Maximum (- \frac{2}{3}, \frac{130}{27}), Minimum (4, - 46)

Graph

Beliebte Beispiele

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