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Beliebt Funktionen >

extreme f(x)=-2x+3ln(2x)

Lösung

extrempunkte

f (x) = - 2 x + 3 ln (2 x)

Lösung

Maximum (\frac{3}{2}, - 3 + 3 ln (3))

Schritte zur Lösung

f^{'} (x) = - 2 + \frac{3}{x}

Intervalle finden:

Ansteigend

: 0 < x < \frac{3}{2},

Absteigend

: \frac{3}{2} < x < \infty

Stecke

x = \frac{3}{2}

in

- 2 x + 3 ln (2 x) : - 3 + 3 ln (3)

Maximum (\frac{3}{2}, - 3 + 3 ln (3))

Graph

Beliebte Beispiele

extreme f(x,y)=sqrt(2-x+y)

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

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