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Beliebt Rechnen >

derivative y=(3x-4)^5

Lösung

ableitung von

y = (3 x - 4)^{5}

Lösung

15 (3 x - 4)^{4}

Schritte zur Lösung

\frac{d}{d x} ((3 x - 4)^{5})

Wende die Kettenregel an:

5 (3 x - 4)^{4} \frac{d}{d x} (3 x - 4)

= 5 (3 x - 4)^{4} \frac{d}{d x} (3 x - 4)

\frac{d}{d x} (3 x - 4) = 3

= 5 (3 x - 4)^{4} \cdot 3

Vereinfache

= 15 (3 x - 4)^{4}

Graph

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