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Beliebt Rechnen >

derivative of 14-1/2 x^{-3}

Lösung

\frac{d}{d x} (14 - \frac{1}{2} x^{- 3})

Lösung

\frac{3}{2 x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (14 - \frac{1}{2} x^{- 3})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (14) - \frac{d}{d x} (\frac{1}{2} x^{- 3})

\frac{d}{d x} (14) = 0

\frac{d}{d x} (\frac{1}{2} x^{- 3}) = - \frac{3}{2 x ^{4}}

= 0 - (- \frac{3}{2 x ^{4}})

Vereinfache

= \frac{3}{2 x ^{4}}

Graph

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