d/(du)((x)(x+1))

Lösung

\frac{d}{d u} ((u) (u + 1))

2 u + 1

Schritte zur Lösung

\frac{d}{d u} ((u) (u + 1))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = u, g = u + 1

= \frac{d u}{d u} (u + 1) + \frac{d}{d u} (u + 1) u

\frac{d u}{d u} = 1

\frac{d}{d u} (u + 1) = 1

= 1 \cdot (u + 1) + 1 \cdot u

Vereinfache

1 \cdot (u + 1) + 1 \cdot u : 2 u + 1

= 2 u + 1

e x p an d 2 (2 x - 4)

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