Find the absolute extrema in the interval (π/2, 3π/2) for y = x + sin x and label the extrema as absolute minimum or absolute maximum.

Question

Find the absolute extrema in the interval (π/2, 3π/2) for y = x + sin x and label the extrema as absolute

minimum or absolute maximum.

Answer 1

Graph the function!!!

In the interval required, there is a point of inflection with horizontal tangent at x=pi; otherwise it is non-decreasing function.