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Beliebt Funktionen >

extreme f(x)=x^3+3x^2-9x-1

Lösung

extrempunkte

f (x) = x^{3} + 3 x^{2} - 9 x - 1

Lösung

Maximum (- 3, 26), Minimum (1, - 6)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} + 6 x - 9

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 3

in

x^{3} + 3 x^{2} - 9 x - 1 : 26

Maximum (- 3, 26)

Stecke

x = 1

in

x^{3} + 3 x^{2} - 9 x - 1 : - 6

Minimum (1, - 6)

Maximum (- 3, 26), Minimum (1, - 6)

Graph

Beliebte Beispiele

extreme f(x)=x^2-8x+9

e x t re m e f (x) = x^{2} - 8 x + 9

extreme f(x,y)=x^3-y^3+6xy

e x t re m e f (x, y) = x^{3} - y^{3} + 6 x y

extreme f(x,y)=288y^2+x^2-x^2y

e x t re m e f (x, y) = 288 y^{2} + x^{2} - x^{2} y

extreme f(x,y)=x(x-4)y(y-4)

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

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

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