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Beliebt Funktionen >

extreme f(x)=2x^3-27x^2+84x+11

Lösung

extrempunkte

f (x) = 2 x^{3} - 27 x^{2} + 84 x + 11

Lösung

Maximum (2, 87), Minimum (7, - 38)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 54 x + 84

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = 2

in

2 x^{3} - 27 x^{2} + 84 x + 11 : 87

Maximum (2, 87)

Stecke

x = 7

in

2 x^{3} - 27 x^{2} + 84 x + 11 : - 38

Minimum (7, - 38)

Maximum (2, 87), Minimum (7, - 38)

Graph

Beliebte Beispiele

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