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Beliebt Funktionen >

extreme f(x)=12x^{2/3}-8x

Lösung

extrempunkte

f (x) = 12 x^{\frac{2}{3}} - 8 x

Lösung

Minimum (1, 4)

Schritte zur Lösung

f^{'} (x) = \frac{8}{x ^{\frac{1}{3}}} - 8

Intervalle finden:

Absteigend

: - \infty < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

in

12 x^{\frac{2}{3}} - 8 x : 4

Minimum (1, 4)

Graph

Beliebte Beispiele

extreme f(x)=x^5-5x^4+8

e x t re m e f (x) = x^{5} - 5 x^{4} + 8

extreme f(x)=2x^3-x^2+8x

e x t re m e f (x) = 2 x^{3} - x^{2} + 8 x

extreme f(x)=2x^3+3x^2-180x

e x t re m e f (x) = 2 x^{3} + 3 x^{2} - 180 x

extreme f(x)=sqrt(16-x^2-4y^2)

e x t re m e f (x) = 16 - x^{2} - 4 y^{2}

extreme f(x)=2x^4-32x^3+4

e x t re m e f (x) = 2 x^{4} - 32 x^{3} + 4