derivative y=5x^{-7}-8/x

Lösung

ableitung von

y = 5 x^{- 7} - \frac{8}{x}

- \frac{35}{x ^{8}} + \frac{8}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (5 x^{- 7} - \frac{8}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{- 7}) - \frac{d}{d x} (\frac{8}{x})

\frac{d}{d x} (5 x^{- 7}) = - \frac{35}{x ^{8}}

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= - \frac{35}{x ^{8}} - (- \frac{8}{x ^{2}})

Vereinfache

= - \frac{35}{x ^{8}} + \frac{8}{x ^{2}}

d er i v a t i v e sin^{2} (4 x)

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n = 1 \sum \infty \frac{ln ( n )}{n}

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