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Beliebt Funktionen >

extreme (ln(x))/(6x)

Lösung

extrempunkte

\frac{ln ( x )}{6 x}

Lösung

Maximum (e, \frac{1}{6 e})

Schritte zur Lösung

f^{'} (x) = \frac{1 - ln ( x )}{6 x ^{2}}

Intervalle finden:

Ansteigend

: 0 < x < e,

Absteigend

: e < x < \infty

Stecke

x = e

in

\frac{ln ( x )}{6 x} : \frac{1}{6 e}

Maximum (e, \frac{1}{6 e})

Graph

Beliebte Beispiele

extreme h(x)=-6x^3+18x^2+3

e x t re m e h (x) = - 6 x^{3} + 18 x^{2} + 3

extreme F(x)=(2x)/(x^2+16),-8<= x<= 8

e x t re m e F (x) = \frac{2 x}{x ^{2} + 16}, - 8 \leq x \leq 8

extreme-(9/2)^2-7^2+9/2-14+3

e x t re m e - (\frac{9}{2})^{2} - 7^{2} + \frac{9}{2} - 14 + 3

extreme x(sqrt(8-x^2))

e x t re m e x (8 - x^{2})

extreme f(x)=f(x)=-8x^2-144x+6

e x t re m e f (x) = f (x) = - 8 x^{2} - 144 x + 6