Please provide clear explanation for the question.

Consider the function f(.1:) = 4 sin m+m2 +53: 10 with domain the closed interval [0 , 2w] . (a) Show that x) is increasing on its domain. Explain clearly your reasoning. (b) Find the interval(s) where at) is concave up and the interval(s) where it is concave down, and any points of inection. Show your work