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Beliebt Funktionen >

extreme f(x)=x^2ln(x/8)

Lösung

extrempunkte

f (x) = x^{2} ln (\frac{x}{8})

Lösung

Minimum (\frac{8}{e}, - \frac{32}{e})

Schritte zur Lösung

f^{'} (x) = 2 x ln (\frac{x}{8}) + x

Intervalle finden:

Absteigend

: 0 < x < \frac{8}{e},

Ansteigend

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

Stecke

x = \frac{8}{e}

in

x^{2} ln (\frac{x}{8}) : - \frac{32}{e}

Minimum (\frac{8}{e}, - \frac{32}{e})

Graph

Beliebte Beispiele

asymptoten x^2-1

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invers f(x)= 1/2 x+16

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asymptoten f(x)= 2/(x^2-2x-3)

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