What is the derivative of sin2(x)?
While finding the derivative of a function we need to differentiate it with respect to the independent variable.
Answer: The derivative of sin2(x) is sin(2x).
Let's understand how we arrived at the solution.
Let, y = sin2(x)
Differentiating both side w.r.t x
dy/dx = d[sin2(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.