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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = x - 3 x^{\frac{2}{3}}

Lösung

Maximum (0, 0), Minimum (8, - 4)

Schritte zur Lösung

f^{'} (x) = 1 - \frac{2}{x ^{\frac{1}{3}}}

Intervalle finden:

Ansteigend

: - \infty < x < \frac{1}{8},

Absteigend

: \frac{1}{8} < x < \infty

Stecke

x = 0

in

x - 3 x^{\frac{2}{3}} : 0

Maximum (0, 0)

Stecke

x = 8

in

x - 3 x^{\frac{2}{3}} : - 4

Minimum (8, - 4)

Maximum (0, 0), Minimum (8, - 4)

Graph

Beliebte Beispiele

extreme f(x)=(x^5)/5-8/3 x^3

e x t re m e f (x) = \frac{x ^{5}}{5} - \frac{8}{3} x^{3}

extreme (4x)/(25-x^2)

e x t re m e \frac{4 x}{25 - x ^{2}}

extreme f(x)=x^{1/5}(x+6)

e x t re m e f (x) = x^{\frac{1}{5}} (x + 6)

extreme f(x)=sqrt(x^2+0.3x)-0.22x

e x t re m e f (x) = x^{2} + 0.3 x - 0.22 x

extreme y=x(3+5z)

e x t re m e y = x (3 + 5 z)