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Beliebt Funktionen >

extreme f(x)=x^4ln(x)

Lösung

extrempunkte

f (x) = x^{4} ln (x)

Lösung

Minimum (\frac{1}{4 e}, - \frac{1}{4 e})

Schritte zur Lösung

f^{'} (x) = 4 x^{3} ln (x) + x^{3}

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{4 e},

Ansteigend

: \frac{1}{4 e} < x < \infty

Stecke

x = \frac{1}{4 e}

in

x^{4} ln (x) : - \frac{1}{4 e}

Minimum (\frac{1}{4 e}, - \frac{1}{4 e})

Graph

Beliebte Beispiele

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

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

extreme f(x)=(x+1)/(x-1)

e x t re m e f (x) = \frac{x + 1}{x - 1}

extreme f(x)=e^x(24-x^2)

e x t re m e f (x) = e^{x} (24 - x^{2})

extreme f(x,y)=ln(x+y)+x^2-y

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

e x t re m e x^{2} - 2 x