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Beliebt Rechnen >

derivative 2sin(2v)-4sin^9(2v)

Lösung

ableitung von

2 sin (2 v) - 4 sin^{9} (2 v)

Lösung

4 cos (2 v) - 72 sin^{8} (2 v) cos (2 v)

Schritte zur Lösung

\frac{d}{d v} (2 sin (2 v) - 4 sin^{9} (2 v))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d v} (2 sin (2 v)) - \frac{d}{d v} (4 sin^{9} (2 v))

\frac{d}{d v} (2 sin (2 v)) = 4 cos (2 v)

\frac{d}{d v} (4 sin^{9} (2 v)) = 72 sin^{8} (2 v) cos (2 v)

= 4 cos (2 v) - 72 sin^{8} (2 v) cos (2 v)

Graph

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