derivative of (5+x^4^{12})

Lösung

\frac{d}{d x} ((5 + x^{4})^{12})

48 x^{3} (5 + x^{4})^{11}

Schritte zur Lösung

\frac{d}{d x} ((5 + x^{4})^{12})

Wende die Kettenregel an:

12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

= 12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

\frac{d}{d x} (5 + x^{4}) = 4 x^{3}

= 12 (5 + x^{4})^{11} \cdot 4 x^{3}

Vereinfache

= 48 x^{3} (5 + x^{4})^{11}

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