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Beliebt Funktionen >

extreme f(x)=2x^4-16x^3

Lösung

extrempunkte

f (x) = 2 x^{4} - 16 x^{3}

Lösung

Sattel (0, 0), Minimum (6, - 864)

Schritte zur Lösung

f^{'} (x) = 8 x^{3} - 48 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

2 x^{4} - 16 x^{3} : 0

Sattel (0, 0)

Stecke

x = 6

in

2 x^{4} - 16 x^{3} : - 864

Minimum (6, - 864)

Sattel (0, 0), Minimum (6, - 864)

Graph

Beliebte Beispiele

extreme f(x)=x^2-8x,0<= x<= 9

e x t re m e f (x) = x^{2} - 8 x, 0 \leq x \leq 9

extreme f(x)= 4/3 x^{3/2}-1/2 x^2

e x t re m e f (x) = \frac{4}{3} x^{\frac{3}{2}} - \frac{1}{2} x^{2}

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

e x t re m e y = (x^{2} - 9)^{3}

extreme f(x)= 1/x ,[1,infinity ]

e x t re m e f (x) = \frac{1}{x}, [1, \infty]

extreme x^2+(640)/x

e x t re m e x^{2} + \frac{640}{x}