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Beliebt Funktionen >

extreme x^3-6x^2+9x+9

Lösung

extrempunkte

x^{3} - 6 x^{2} + 9 x + 9

Lösung

Maximum (1, 13), Minimum (3, 9)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 12 x + 9

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 1

in

x^{3} - 6 x^{2} + 9 x + 9 : 13

Maximum (1, 13)

Stecke

x = 3

in

x^{3} - 6 x^{2} + 9 x + 9 : 9

Minimum (3, 9)

Maximum (1, 13), Minimum (3, 9)

Graph

Beliebte Beispiele

extreme f(x,y)=16-x^2-y^2

e x t re m e f (x, y) = 16 - x^{2} - y^{2}

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

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

extreme-1.8x^2+7x-11

e x t re m e - 1.8 x^{2} + 7 x - 11

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

e x t re m e f (x, y) = 2 ln (x) + ln (y) - 4 x - y

extreme f(x,y)=3x+y

e x t re m e f (x, y) = 3 x + y