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Beliebt Rechnen >

d/(dt)(acos(4t)+bsin(4t))

Lösung

\frac{d}{d t} (a cos (4 t) + b sin (4 t))

Lösung

- 4 a sin (4 t) + b cos (4 t) \cdot 4

Schritte zur Lösung

\frac{d}{d t} (a cos (4 t) + b sin (4 t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (a cos (4 t)) + \frac{d}{d t} (b sin (4 t))

\frac{d}{d t} (a cos (4 t)) = - 4 a sin (4 t)

\frac{d}{d t} (b sin (4 t)) = b cos (4 t) \cdot 4

= - 4 a sin (4 t) + b cos (4 t) \cdot 4

Graph

Beliebte Beispiele

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