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Beliebt Rechnen >

derivative (8x+9)(9x-10)

Lösung

ableitung von

(8 x + 9) (9 x - 10)

Lösung

144 x + 1

Schritte zur Lösung

\frac{d}{d x} ((8 x + 9) (9 x - 10))

Wende die Produktregel an:

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

f = 8 x + 9, g = 9 x - 10

= \frac{d}{d x} (8 x + 9) (9 x - 10) + \frac{d}{d x} (9 x - 10) (8 x + 9)

\frac{d}{d x} (8 x + 9) = 8

\frac{d}{d x} (9 x - 10) = 9

= 8 (9 x - 10) + 9 (8 x + 9)

Vereinfache

8 (9 x - 10) + 9 (8 x + 9) : 144 x + 1

= 144 x + 1

Graph

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