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Beliebt Rechnen >

derivative f(x)=(x-3)(2x+1)

Lösung

ableitung von

f (x) = (x - 3) (2 x + 1)

Lösung

4 x - 5

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

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

Vereinfache

1 \cdot (2 x + 1) + 2 (x - 3) : 4 x - 5

= 4 x - 5

Graph

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