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Beliebt Rechnen >

derivative of (9x^4+5^3)

Lösung

\frac{d}{d x} ((9 x^{4} + 5)^{3})

Lösung

108 x^{3} (9 x^{4} + 5)^{2}

Schritte zur Lösung

\frac{d}{d x} ((9 x^{4} + 5)^{3})

Wende die Kettenregel an:

3 (9 x^{4} + 5)^{2} \frac{d}{d x} (9 x^{4} + 5)

= 3 (9 x^{4} + 5)^{2} \frac{d}{d x} (9 x^{4} + 5)

\frac{d}{d x} (9 x^{4} + 5) = 36 x^{3}

= 3 (9 x^{4} + 5)^{2} \cdot 36 x^{3}

Vereinfache

= 108 x^{3} (9 x^{4} + 5)^{2}

Graph

Beliebte Beispiele

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