given the graph of f(x) = x sinx, 0<=x<=2pi

assuming that a quantity y changes at a rate of y' = xsinx, find by how much it will increase or decrease over 3pi/2 <= x <= 2pi

min y'=-3PI/2 at 3PI/2

max y'=0 at 2PI

I am not really certain of the point of your question