derivative of cos(4x+sin(4x))

Lösung

\frac{d}{d x} (cos (4 x) + sin (4 x))

- sin (4 x) \cdot 4 + cos (4 x) \cdot 4

Schritte zur Lösung

\frac{d}{d x} (cos (4 x) + sin (4 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (4 x)) + \frac{d}{d x} (sin (4 x))

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

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

= - sin (4 x) \cdot 4 + cos (4 x) \cdot 4