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Beliebt Rechnen >

derivative of (3x+1(2x+6))

Lösung

\frac{d}{d x} ((3 x + 1) (2 x + 6))

Lösung

12 x + 20

Schritte zur Lösung

\frac{d}{d x} ((3 x + 1) (2 x + 6))

Wende die Produktregel an:

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

f = 3 x + 1, g = 2 x + 6

= \frac{d}{d x} (3 x + 1) (2 x + 6) + \frac{d}{d x} (2 x + 6) (3 x + 1)

\frac{d}{d x} (3 x + 1) = 3

\frac{d}{d x} (2 x + 6) = 2

= 3 (2 x + 6) + 2 (3 x + 1)

Vereinfache

3 (2 x + 6) + 2 (3 x + 1) : 12 x + 20

= 12 x + 20

Graph

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