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Beliebt Rechnen >

derivative (x^2+6)^9

Lösung

ableitung von

(x^{2} + 6)^{9}

Lösung

18 x (x^{2} + 6)^{8}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 6)^{9})

Wende die Kettenregel an:

9 (x^{2} + 6)^{8} \frac{d}{d x} (x^{2} + 6)

= 9 (x^{2} + 6)^{8} \frac{d}{d x} (x^{2} + 6)

\frac{d}{d x} (x^{2} + 6) = 2 x

= 9 (x^{2} + 6)^{8} \cdot 2 x

Vereinfache

= 18 x (x^{2} + 6)^{8}

Graph

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