derivative of tan(3x^4)

Lösung

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

sec^{2} (3 x^{4}) \cdot 12 x^{3}

Schritte zur Lösung

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

Wende die Kettenregel an:

sec^{2} (3 x^{4}) \frac{d}{d x} (3 x^{4})

= sec^{2} (3 x^{4}) \frac{d}{d x} (3 x^{4})

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= sec^{2} (3 x^{4}) \cdot 12 x^{3}