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Beliebt Funktionen >

extreme x^3-9x^2+24x

Lösung

extrempunkte

x^{3} - 9 x^{2} + 24 x

Lösung

Maximum (2, 20), Minimum (4, 16)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x + 24

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 2

in

x^{3} - 9 x^{2} + 24 x : 20

Maximum (2, 20)

Stecke

x = 4

in

x^{3} - 9 x^{2} + 24 x : 16

Minimum (4, 16)

Maximum (2, 20), Minimum (4, 16)

Graph

Beliebte Beispiele

extreme f(x,y)=2x^2-4x+y^2-4y+6

e x t re m e f (x, y) = 2 x^{2} - 4 x + y^{2} - 4 y + 6

extreme p(x)=2x^3-11x^2+ax-40

e x t re m e p (x) = 2 x^{3} - 11 x^{2} + a x - 40

extreme f(x,y)=sqrt(11-x^2-y^2)

e x t re m e f (x, y) = 11 - x^{2} - y^{2}

extreme f(x)=x^2-25

e x t re m e f (x) = x^{2} - 25

extreme f(x)=x^2+(360)/x

e x t re m e f (x) = x^{2} + \frac{360}{x}