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Beliebt Rechnen >

derivative of (x-5(x+4))

Lösung

\frac{d}{d x} ((x - 5) (x + 4))

Lösung

2 x - 1

Schritte zur Lösung

\frac{d}{d x} ((x - 5) (x + 4))

Wende die Produktregel an:

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

f = x - 5, g = x + 4

= \frac{d}{d x} (x - 5) (x + 4) + \frac{d}{d x} (x + 4) (x - 5)

\frac{d}{d x} (x - 5) = 1

\frac{d}{d x} (x + 4) = 1

= 1 \cdot (x + 4) + 1 \cdot (x - 5)

Vereinfache

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

= 2 x - 1

Graph

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