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Beliebt Funktionen >

extreme f(x)=x^3-12x^2-27x-26

Lösung

extrempunkte

f (x) = x^{3} - 12 x^{2} - 27 x - 26

Lösung

Maximum (- 1, - 12), Minimum (9, - 512)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 24 x - 27

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 9,

Ansteigend

: 9 < x < \infty

Stecke

x = - 1

in

x^{3} - 12 x^{2} - 27 x - 26 : - 12

Maximum (- 1, - 12)

Stecke

x = 9

in

x^{3} - 12 x^{2} - 27 x - 26 : - 512

Minimum (9, - 512)

Maximum (- 1, - 12), Minimum (9, - 512)

Graph

Beliebte Beispiele

extreme f(x)=ln(x+2)(x-1)^2

e x t re m e f (x) = ln (x + 2) (x - 1)^{2}

extreme 2x^3-3x^2-12x

e x t re m e 2 x^{3} - 3 x^{2} - 12 x

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

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

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

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

extreme f(x)=x^3(x-5)^2

e x t re m e f (x) = x^{3} (x - 5)^{2}