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Beliebt Rechnen >

derivative f(x)=(1+x)^5

Lösung

ableitung von

f (x) = (1 + x)^{5}

Lösung

5 (1 + x)^{4}

Schritte zur Lösung

\frac{d}{d x} ((1 + x)^{5})

Wende die Kettenregel an:

5 (1 + x)^{4} \frac{d}{d x} (1 + x)

= 5 (1 + x)^{4} \frac{d}{d x} (1 + x)

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

= 5 (1 + x)^{4} \cdot 1

Vereinfache

= 5 (1 + x)^{4}

Graph

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