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Beliebt Rechnen >

derivative of (x+1(x+2))

Lösung

\frac{d}{d x} ((x + 1) (x + 2))

Lösung

2 x + 3

Schritte zur Lösung

\frac{d}{d x} ((x + 1) (x + 2))

Wende die Produktregel an:

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

f = x + 1, g = x + 2

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

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

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

= 1 \cdot (x + 2) + 1 \cdot (x + 1)

Vereinfache

1 \cdot (x + 2) + 1 \cdot (x + 1) : 2 x + 3

= 2 x + 3

Graph

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