derivative of (4x^3+1^3)

Lösung

\frac{d}{d x} ((4 x^{3} + 1)^{3})

36 x^{2} (4 x^{3} + 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((4 x^{3} + 1)^{3})

Wende die Kettenregel an:

3 (4 x^{3} + 1)^{2} \frac{d}{d x} (4 x^{3} + 1)

= 3 (4 x^{3} + 1)^{2} \frac{d}{d x} (4 x^{3} + 1)

\frac{d}{d x} (4 x^{3} + 1) = 12 x^{2}

= 3 (4 x^{3} + 1)^{2} \cdot 12 x^{2}

Vereinfache

= 36 x^{2} (4 x^{3} + 1)^{2}