# What is the derivative of sin 2x?

We will use the concept of derivatives to find the derivative of sin 2x.

## Answer: The differentiation of sin(2x) gives 2cos(2x).

Go through the explanation to understand better.

**Explanation:**

Let f(x) = sin 2x

Applying the chain rule of differentiation for f(x), we get:

d/dx [f(g(x))] = f'(g(x))g'(x) where, f(x) = sin(x) and g(x) = 2x

⇒ f'(g(x)) = cos(2x)

⇒ g'(x) = 2

d/dx [f(g(x))] = f'(g(x))g'(x) = cos(2x)×2