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Beliebt Rechnen >

derivative x^{1/3}-1

Lösung

ableitung von

x^{\frac{1}{3}} - 1

Lösung

\frac{1}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= \frac{1}{3 x ^{\frac{2}{3}}} - 0

Vereinfache

= \frac{1}{3 x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

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