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Beliebt Rechnen >

derivative (sqrt(x)+1)^{81}

Lösung

ableitung von

(x + 1)^{81}

Lösung

81 (x + 1)^{80} \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} ((x + 1)^{81})

Wende die Kettenregel an:

81 (x + 1)^{80} \frac{d}{d x} (x + 1)

= 81 (x + 1)^{80} \frac{d}{d x} (x + 1)

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

= 81 (x + 1)^{80} \frac{1}{2 x}

Graph

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