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Beliebt Rechnen >

derivative y=(x^3+3)^4

Lösung

ableitung von

y = (x^{3} + 3)^{4}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 x^{2} (x^{3} + 3)^{3}

Graph

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