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Beliebt Rechnen >

derivative-16(x^{-6}-x^{12})

Lösung

ableitung von

- 16 (x^{- 6} - x^{12})

Lösung

- 16 (- \frac{6}{x ^{7}} - 12 x^{11})

Schritte zur Lösung

\frac{d}{d x} (- 16 (x^{- 6} - x^{12}))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - 16 \frac{d}{d x} (x^{- 6} - x^{12})

Wende die Summen-/Differenzregel an:

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

= - 16 (\frac{d}{d x} (x^{- 6}) - \frac{d}{d x} (x^{12}))

\frac{d}{d x} (x^{- 6}) = - \frac{6}{x ^{7}}

\frac{d}{d x} (x^{12}) = 12 x^{11}

= - 16 (- \frac{6}{x ^{7}} - 12 x^{11})

Graph

Beliebte Beispiele

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