I really do need help on this problem. I'd really appreciate a step by step visual on this. Thank you!

A function f is defined on the interval [0,4], and it's derivative is f'(x) = e^sinx - 2cos3x

(a) On what interval is f increasing? Justify your answer
(b) At what value(s) of x does f have local maxima? Justify your answer.
(c) How many points of inflection does that graph of f have? Justify your answer.

Question

I really do need help on this problem. I'd really appreciate a step by step visual on this. Thank you!

A function f is defined on the interval [0,4], and it's derivative is f'(x) = e^sinx - 2cos3x

(a) On what interval is f increasing? Justify your answer
(b) At what value(s) of x does f have local maxima? Justify your answer.
(c) How many points of inflection does that graph of f have? Justify your answer.