Question

How do I find the derivative of `f(x)=2sin(x)cos(x)`?

Answer 1

You can use the Product Rule where the derivative of `f(h)*g(x)` is equal to: `f'(x)*g(x)+f(x)*g'(x)`

In your case you have:

`2cos(x)cos(x)+2sin(x)(-sin(x))=`

`=2(cos^2(x)-sin^2(x))`