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Beliebt Rechnen >

derivative f(x)=(x-2)(5x+3)

Lösung

ableitung von

f (x) = (x - 2) (5 x + 3)

Lösung

10 x - 7

Schritte zur Lösung

\frac{d}{d x} ((x - 2) (5 x + 3))

Wende die Produktregel an:

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

f = x - 2, g = 5 x + 3

= \frac{d}{d x} (x - 2) (5 x + 3) + \frac{d}{d x} (5 x + 3) (x - 2)

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

\frac{d}{d x} (5 x + 3) = 5

= 1 \cdot (5 x + 3) + 5 (x - 2)

Vereinfache

1 \cdot (5 x + 3) + 5 (x - 2) : 10 x - 7

= 10 x - 7

Graph

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