f(x) = sin2x where 0 ≤ x ≤ 2π

where does this function increse ?
where does this function decrease ?
Is there a relative maximum value ? if so what are its coordinates ?
Is there a relative minimum value ? if so what are its coordinates ?

Question

f(x) = sin2x where 0 ≤ x ≤ 2π

where does this function increse ? 
where does this function decrease ? 
Is there a relative maximum value ? if so what are its coordinates ? 
Is there a relative minimum value ? if so what are its coordinates ?

theoreo · Answer

The easiest way to do this one is just to graph it. The function is increasing where the slope is increasing and likewise is decreasing where the slope is decreasing.  The max/min values you should be pretty easy to spot on a graph like sin2x. The tops of the peaks are the maximums and the bottoms of the valleys are the minimums. 

Or does the question require you to show the mathematical process with derivatives?