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Beliebt Rechnen >

derivative of 9cos(x-cos(9x))

Lösung

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

Lösung

- 9 sin (x) + 9 sin (9 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= - 9 sin (x) + 9 sin (9 x)

Graph

Beliebte Beispiele

limit as x approaches 0 of 1/(1+x)

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