derivative of 2x^{-6}+x^{-1}

Lösung

\frac{d}{d x} (2 x^{- 6} + x^{- 1})

- \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (2 x^{- 6} + x^{- 1})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{- 6}) + \frac{d}{d x} (x^{- 1})

\frac{d}{d x} (2 x^{- 6}) = - \frac{12}{x ^{7}}

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

= - \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

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