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Beliebt Rechnen >

derivative x^{-0.5}

Lösung

ableitung von

x^{- 0.5}

Lösung

- \frac{0.5}{x ^{1.5}}

Schritte zur Lösung

\frac{d}{d x} (x^{- 0.5})

Wende die Potenzregel an:

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

= - 0.5 x^{- 0.5 - 1}

Vereinfache

- 0.5 x^{- 0.5 - 1} : - \frac{0.5}{x ^{1.5}}

= - \frac{0.5}{x ^{1.5}}

Graph

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