# What is the derivative of sin^{2}(x)?

While finding the derivative of a function we need to differentiate it with respect to the independent variable.

## Answer: The derivative of sin^{2}(x) is sin(2x).

Let's understand how we arrived at the solution.

**Explanation:**

Let, y = sin^{2}(x)

Differentiating both side w.r.t x

dy/dx = d[sin^{2}(x)]/dx

= 2 sin(x) × d[sin (x)] /dx [ using chain rule]

= 2 sin(x) × cos(x)

= sin(2x) [since, 2 sin(x) cos(x) = sin(2x)]

Also, you can check out the online derivative calculator to verify your answer.