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Beliebt Rechnen >

derivative of (x^2-9^3)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 6 x (x^{2} - 9)^{2}

Graph

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