Please help me with question 1 a-g:

Problem 1. Consider the function f(3:) %$3$1. Answer the following questions and use your answers to sketch an accurate graph of f (as) No need to use a calculator! (a) Find f'(:c). (b) Find the critical points of f. (c) Find the interval(s) on which f is increasing and the interval(s) on which f is decreasing. (d) Find f"(x). (e) Find the interval(s) on which f is concave up and the interval(s) on which f is concave down. (f) Find any inflection points of f.(g) Finally, use the previous information to sketch the graph of the func- tion, marking the critical points with a small circle and inflection points of f with a small cross. (Make sure to evaluate the function at least at the critical points and inflection points to place them accurately) y