derivative of (x^2-3^5)

Lösung

\frac{d}{d x} ((x^{2} - 3)^{5})

10 x (x^{2} - 3)^{4}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 3)^{5})

Wende die Kettenregel an:

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

= 5 (x^{2} - 3)^{4} \frac{d}{d x} (x^{2} - 3)

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

= 5 (x^{2} - 3)^{4} \cdot 2 x

Vereinfache

= 10 x (x^{2} - 3)^{4}