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Beliebt Funktionen >

extreme f(x)=(x^3+1)/x

Lösung

extrempunkte

f (x) = \frac{x ^{3} + 1}{x}

Lösung

Minimum (\frac{1}{3 2}, \frac{3}{2 ^{\frac{2}{3}}})

Schritte zur Lösung

f^{'} (x) = \frac{2 x ^{3} - 1}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{1}{3 2},

Ansteigend

: \frac{1}{3 2} < x < \infty

Stecke

x = \frac{1}{3 2}

in

\frac{x ^{3} + 1}{x} : \frac{3}{2 ^{\frac{2}{3}}}

Minimum (\frac{1}{3 2}, \frac{3}{2 ^{\frac{2}{3}}})

Graph

Beliebte Beispiele

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