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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, 9), Maximum (2, 13)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Minimum (0, 9)

Stecke

x = 2

in

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

Maximum (2, 13)

Minimum (0, 9), Maximum (2, 13)

Graph

Beliebte Beispiele

extreme f(x)=x^2+y^2+6x-12y-9

e x t re m e f (x) = x^{2} + y^{2} + 6 x - 12 y - 9

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

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

extreme f(x)=(x^2e^{3x})

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

extreme f(x)=18500(0.25-r^2)

e x t re m e f (x) = 18500 (0.25 - r^{2})

extreme f(x)=-x^2+8x-15,3<= x<= 5

e x t re m e f (x) = - x^{2} + 8 x - 15, 3 \leq x \leq 5