derivative of (2x^2-4x^2)

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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