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Beliebt Funktionen >

extreme f(x)=14x^3+336x^2

Lösung

extrempunkte

f (x) = 14 x^{3} + 336 x^{2}

Lösung

Maximum (- 16, 28672), Minimum (0, 0)

Schritte zur Lösung

f^{'} (x) = 42 x^{2} + 672 x

Intervalle finden:

Ansteigend

: - \infty < x < - 16,

Absteigend

: - 16 < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - 16

in

14 x^{3} + 336 x^{2} : 28672

Maximum (- 16, 28672)

Stecke

x = 0

in

14 x^{3} + 336 x^{2} : 0

Minimum (0, 0)

Maximum (- 16, 28672), Minimum (0, 0)

Graph

Beliebte Beispiele

extreme f(x)=x^2+(14)/x

e x t re m e f (x) = x^{2} + \frac{14}{x}

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

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

extreme f(x)=x^{1/3}(x-7)^2

e x t re m e f (x) = x^{\frac{1}{3}} (x - 7)^{2}

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

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

extreme f(x)=11-5x+x^2

e x t re m e f (x) = 11 - 5 x + x^{2}