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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, 0), Minimum (2, - 12)

Schritte zur Lösung

f^{'} (x) = 9 x^{2} - 18 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

3 x^{3} - 9 x^{2} : 0

Maximum (0, 0)

Stecke

x = 2

in

3 x^{3} - 9 x^{2} : - 12

Minimum (2, - 12)

Maximum (0, 0), Minimum (2, - 12)

Graph

Beliebte Beispiele

extreme f(x)=-2/5 x^5+5x^4-16x^3-19

e x t re m e f (x) = - \frac{2}{5} x^{5} + 5 x^{4} - 16 x^{3} - 19

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

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

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

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

extreme f(x)=2x(4-x^2)

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

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

e x t re m e f (x) = x^{2} + 3 x + 1