derivative of 1-cos(3x)

Lösung

\frac{d}{d x} (1 - cos (3 x))

3 sin (3 x)

Schritte zur Lösung

\frac{d}{d x} (1 - cos (3 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= 0 - (- sin (3 x) \cdot 3)

Vereinfache

= 3 sin (3 x)