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Beliebt Funktionen >

extreme x^{-2}-13x^{-1}

Lösung

extrempunkte

x^{- 2} - 13 x^{- 1}

Lösung

Minimum (\frac{2}{13}, - \frac{169}{4})

Schritte zur Lösung

f^{'} (x) = - \frac{2}{x ^{3}} + \frac{13}{x ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{2}{13},

Ansteigend

: \frac{2}{13} < x < \infty

Stecke

x = \frac{2}{13}

in

x^{- 2} - 13 x^{- 1} : - \frac{169}{4}

Minimum (\frac{2}{13}, - \frac{169}{4})

Graph

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