1. The problem statement, all variables and given/known data I need to use Rolle's theorem to find analitically the maxium and the minimun extremes on the interval [0 , 1/2pi] . So I think I must first find the derivative of the fuction and to solve for x the function given is f(x) = sin 2x 2. Relevant equations 3. The attempt at a solution Im not sure about how to start the product rule is it like this? sin x (2x) then the product rule would be sin x (2) + 2x (cos x) ? I have no idea about how to solve for x.