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Beliebt Rechnen >

derivative of cos(x+isin(x))

Lösung

\frac{d}{d x} (cos (x) + i sin (x))

Lösung

- sin (x) + i cos (x)

Schritte zur Lösung

\frac{d}{d x} (cos (x) + i sin (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (i sin (x))

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

\frac{d}{d x} (i sin (x)) = i cos (x)

= - sin (x) + i cos (x)

Graph

Beliebte Beispiele

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