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Beliebt Rechnen >

derivative of (4+8xcos(1-x))

Lösung

\frac{d}{d x} ((4 + 8 x) cos (1 - x))

Lösung

8 cos (1 - x) + sin (1 - x) (4 + 8 x)

Schritte zur Lösung

\frac{d}{d x} ((4 + 8 x) cos (1 - x))

Wende die Produktregel an:

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

f = 4 + 8 x, g = cos (1 - x)

= \frac{d}{d x} (4 + 8 x) cos (1 - x) + \frac{d}{d x} (cos (1 - x)) (4 + 8 x)

\frac{d}{d x} (4 + 8 x) = 8

\frac{d}{d x} (cos (1 - x)) = sin (1 - x)

= 8 cos (1 - x) + sin (1 - x) (4 + 8 x)

Graph

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