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Beliebt Funktionen >

extreme f(x)=x^3-9x^2+24x

Lösung

extrempunkte

f (x) = 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)=x^3-3x+y^2

e x t re m e f (x) = x^{3} - 3 x + y^{2}

extreme f(x)=x^3-3x^2-24x+32

e x t re m e f (x) = x^{3} - 3 x^{2} - 24 x + 32

extreme f(x)=x+cos(2x)

e x t re m e f (x) = x + cos (2 x)

extreme f(x)=4x^3-3x^2-6x+3,0<= x<= 10

e x t re m e f (x) = 4 x^{3} - 3 x^{2} - 6 x + 3, 0 \leq x \leq 10

extreme f(x,y)=4x^2-3xy

e x t re m e f (x, y) = 4 x^{2} - 3 x y