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Beliebt Rechnen >

derivative (5x+6)(6x-7)

Lösung

ableitung von

(5 x + 6) (6 x - 7)

Lösung

60 x + 1

Schritte zur Lösung

\frac{d}{d x} ((5 x + 6) (6 x - 7))

Wende die Produktregel an:

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

f = 5 x + 6, g = 6 x - 7

= \frac{d}{d x} (5 x + 6) (6 x - 7) + \frac{d}{d x} (6 x - 7) (5 x + 6)

\frac{d}{d x} (5 x + 6) = 5

\frac{d}{d x} (6 x - 7) = 6

= 5 (6 x - 7) + 6 (5 x + 6)

Vereinfache

5 (6 x - 7) + 6 (5 x + 6) : 60 x + 1

= 60 x + 1

Graph

Beliebte Beispiele

(dy)/(dx)-(1+x)(1+y^2)=0

\frac{d y}{d x} - (1 + x) (1 + y^{2}) = 0

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