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Beliebt Rechnen >

d/(dt)(9cos(t)-cos(9t))

Lösung

\frac{d}{d t} (9 cos (t) - cos (9 t))

Lösung

- 9 sin (t) + 9 sin (9 t)

Schritte zur Lösung

\frac{d}{d t} (9 cos (t) - cos (9 t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (9 cos (t)) - \frac{d}{d t} (cos (9 t))

\frac{d}{d t} (9 cos (t)) = - 9 sin (t)

\frac{d}{d t} (cos (9 t)) = - sin (9 t) \cdot 9

= - 9 sin (t) - (- sin (9 t) \cdot 9)

Vereinfache

= - 9 sin (t) + 9 sin (9 t)

Graph

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