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Beliebt Funktionen >

extreme f(x)=x^2log_{2}(x)

Lösung

extrempunkte

f (x) = x^{2} lo g_{2} (x)

Lösung

Minimum (\frac{1}{e}, - \frac{1}{2 e} lo g_{2} (e))

Schritte zur Lösung

f^{'} (x) = \frac{x + 2 x ln ( x )}{ln ( 2 )}

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{1}{e}

in

x^{2} lo g_{2} (x) : - \frac{1}{2 e} lo g_{2} (e)

Minimum (\frac{1}{e}, - \frac{1}{2 e} lo g_{2} (e))

Graph

Beliebte Beispiele

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

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

extreme f(x)=x^2-4x,-infinity <x<= 4

e x t re m e f (x) = x^{2} - 4 x, - \infty < x \leq 4

extreme f(x)=(x-2)(x+2)(x+4)

e x t re m e f (x) = (x - 2) (x + 2) (x + 4)

extreme f(x)=11+5x+x^2

e x t re m e f (x) = 11 + 5 x + x^{2}

extreme f(x)=x^2log_{3}(x)

e x t re m e f (x) = x^{2} lo g_{3} (x)