differentiate cos(2x) — step-by-step solution

Let's perform the differentiation:

{(\cos (2 x))}^{'}

Apply the differentiation rule:

{(\cos (f))}^{'} = - {(f)}^{'} \cdot \sin (f)

with f =

2 x

- {(2 x)}^{'} \cdot \sin (2 x)

▷Answer: $- 2 \cdot \sin (2 x)$