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Beliebt Rechnen >

derivative (2x^2+9)^3

Lösung

ableitung von

(2 x^{2} + 9)^{3}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 x (2 x^{2} + 9)^{2}

Graph

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