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Beliebt Funktionen >

extreme (180ln(x)-300)/(x^2)

Lösung

extrempunkte

\frac{180 ln ( x ) - 300}{x ^{2}}

Lösung

Maximum (e^{\frac{13}{6}}, \frac{90}{e ^{\frac{13}{3}}})

Schritte zur Lösung

f^{'} (x) = \frac{60 ( - 6 ln ( x ) + 13 )}{x ^{3}}

Intervalle finden:

Ansteigend

: 0 < x < e^{\frac{13}{6}},

Absteigend

: e^{\frac{13}{6}} < x < \infty

Stecke

x = e^{\frac{13}{6}}

in

\frac{180 ln ( x ) - 300}{x ^{2}} : \frac{90}{e ^{\frac{13}{3}}}

Maximum (e^{\frac{13}{6}}, \frac{90}{e ^{\frac{13}{3}}})

Graph

Beliebte Beispiele

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

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

extreme f(x)=a+2b=53

e x t re m e f (x) = a + 2 b = 53

extreme F(x,y)=x^3-4x^2-xy-y^2

e x t re m e F (x, y) = x^{3} - 4 x^{2} - x y - y^{2}

extreme f(x)=x^2-4x-7

e x t re m e f (x) = x^{2} - 4 x - 7

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

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