Answer:
The function is given below as
[tex]f(x)=x+2\sin x[/tex]
Using the interval below
[tex]0\leq x\leq2\pi[/tex]
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).
Using a graphing tool, we will have the relative maximum and relative minimum to be
Hence,
The relative maximum is at
[tex](\frac{2\pi}{3},3.826)[/tex]
The relative minimum is at
[tex](\frac{4\pi}{3},2.457)[/tex]
