If f(x)=sinxcosx, what are the critical points? on the interval (o, 2pi)

Answer 1

Critical points are points in the given interval (0,2π) at which the derivative is zero, or the function is not differentiable.

The function f(x)=sin(x)cos(x) is differentiable from (-∞,∞), so you only have to look at the points at which the derivative is zero.