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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (1, \frac{5}{2})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

in

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

Minimum (1, \frac{5}{2})

Graph

Beliebte Beispiele

extreme f(x)=ln(3x+1)

e x t re m e f (x) = ln (3 x + 1)

extreme f(x)=-2+5sin(pi/(12)(x-2))

e x t re m e f (x) = - 2 + 5 sin (\frac{π}{12} (x - 2))

extreme f(x)=(2x-x^2)(2y-y^2)

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

extreme f(x,y)=9-2x+8y-x^2-4y^2

e x t re m e f (x, y) = 9 - 2 x + 8 y - x^{2} - 4 y^{2}

extreme f(x)=-4x^5ln(2x)

e x t re m e f (x) = - 4 x^{5} ln (2 x)