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Beliebt Rechnen >

derivative of (7x^3-5^9)

Lösung

\frac{d}{d x} ((7 x^{3} - 5)^{9})

Lösung

189 x^{2} (7 x^{3} - 5)^{8}

Schritte zur Lösung

\frac{d}{d x} ((7 x^{3} - 5)^{9})

Wende die Kettenregel an:

9 (7 x^{3} - 5)^{8} \frac{d}{d x} (7 x^{3} - 5)

= 9 (7 x^{3} - 5)^{8} \frac{d}{d x} (7 x^{3} - 5)

\frac{d}{d x} (7 x^{3} - 5) = 21 x^{2}

= 9 (7 x^{3} - 5)^{8} \cdot 21 x^{2}

Vereinfache

= 189 x^{2} (7 x^{3} - 5)^{8}

Graph

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