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Beliebt Funktionen >

extreme 5x^{2/3}-x^{1/3}

Lösung

extrempunkte

5 x^{\frac{2}{3}} - x^{\frac{1}{3}}

Lösung

Minimum (\frac{1}{1000}, - \frac{1}{20})

Schritte zur Lösung

f^{'} (x) = \frac{10}{3 x ^{\frac{1}{3}}} - \frac{1}{3 x ^{\frac{2}{3}}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{1}{1000},

Ansteigend

: \frac{1}{1000} < x < \infty

Stecke

x = \frac{1}{1000}

in

5 x^{\frac{2}{3}} - x^{\frac{1}{3}} : - \frac{1}{20}

Minimum (\frac{1}{1000}, - \frac{1}{20})

Graph

Beliebte Beispiele

extreme 2sin^2(x)

e x t re m e 2 sin^{2} (x)

extreme f(x,y)=x^2+x-3xy+y^3-5

e x t re m e f (x, y) = x^{2} + x - 3 x y + y^{3} - 5

extreme y=5-2x^2,-4<= x<= 2

e x t re m e y = 5 - 2 x^{2}, - 4 \leq x \leq 2

extreme f(x)=x^3-7/2 x^2+2x-5

e x t re m e f (x) = x^{3} - \frac{7}{2} x^{2} + 2 x - 5

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

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