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Beliebt Rechnen >

derivative of (2x+3(3x-2))

Lösung

\frac{d}{d x} ((2 x + 3) (3 x - 2))

Lösung

12 x + 5

Schritte zur Lösung

\frac{d}{d x} ((2 x + 3) (3 x - 2))

Wende die Produktregel an:

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

f = 2 x + 3, g = 3 x - 2

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

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

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

= 2 (3 x - 2) + 3 (2 x + 3)

Vereinfache

2 (3 x - 2) + 3 (2 x + 3) : 12 x + 5

= 12 x + 5

Graph

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