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.
Let f(x) = sin 2x
Applying the chain rule of differentiation for f(x), we get:
d [f(g(x))]/dx = f'(g(x))g'(x)
We have f(x) = sin(x) and g(x) = 2x
⇒ f'(g(x)) = cos(2x) and g'(x) = 2
d sin 2x /dx = f'(g(x))g'(x) = cos(2x)×2