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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Sattel (0, 0), Maximum (\frac{3}{4}, \frac{27}{256})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{3}{4},

Absteigend

: \frac{3}{4} < x < \infty

Stecke

x = 0

in

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

Sattel (0, 0)

Stecke

x = \frac{3}{4}

in

x^{3} - x^{4} : \frac{27}{256}

Maximum (\frac{3}{4}, \frac{27}{256})

Sattel (0, 0), Maximum (\frac{3}{4}, \frac{27}{256})

Graph

Beliebte Beispiele

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

e x t re m e f (x) = 3 + x y - x - 2 y

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

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

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

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

extreme 3x^3-3x^2-3x+8

e x t re m e 3 x^{3} - 3 x^{2} - 3 x + 8

extreme 2x^3+3x^2-12x-4

e x t re m e 2 x^{3} + 3 x^{2} - 12 x - 4