derivative (8x-x^2)^3

Lösung

ableitung von

(8 x - x^{2})^{3}

3 (8 x - x^{2})^{2} (8 - 2 x)

Schritte zur Lösung

\frac{d}{d x} ((8 x - x^{2})^{3})

Wende die Kettenregel an:

3 (8 x - x^{2})^{2} \frac{d}{d x} (8 x - x^{2})

= 3 (8 x - x^{2})^{2} \frac{d}{d x} (8 x - x^{2})

\frac{d}{d x} (8 x - x^{2}) = 8 - 2 x

= 3 (8 x - x^{2})^{2} (8 - 2 x)