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Beliebt Funktionen >

extreme f(x)=2x^3-12x^2+14

Lösung

extrempunkte

f (x) = 2 x^{3} - 12 x^{2} + 14

Lösung

Maximum (0, 14), Minimum (4, - 50)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 24 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

2 x^{3} - 12 x^{2} + 14 : 14

Maximum (0, 14)

Stecke

x = 4

in

2 x^{3} - 12 x^{2} + 14 : - 50

Minimum (4, - 50)

Maximum (0, 14), Minimum (4, - 50)

Graph

Beliebte Beispiele

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

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

extreme f(x)=e^{x^3-27x}

e x t re m e f (x) = e^{x^{3} - 27 x}

extreme (x^2-11x+67)/(x-9)

e x t re m e \frac{x ^{2} - 11 x + 67}{x - 9}

extreme f(x)=6x^{2/3}-x

e x t re m e f (x) = 6 x^{\frac{2}{3}} - x

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

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