how can i solve this question from a to f please (please include explanation to each one)

2 1. For a: in [1,1], let f(:c) = :73. (a) Find all of the critical numbers of f (as) (in [1,1]). Find the intervals on which x) is increasing and the intervals on which f($) is decreasing. (b) Find the intervals on which f (as) is concave up and the intervals on which f (m) is concave down. Identify any inection points of f (:17). (c) Use the First Derivative Test to classify each critical number of f (9:) found in (a) as either a local maximum, a local minimum or neither. (d) Now use the Second Derivative Test to verify your classication results from part (c). Which method do you prefer in this case, the First Derivative Test or the Second Deriva- tive Test? (e) Since f (:12) is c0ntinuous on [1,1], by the EVT it attains a global max and a global min on the interval [1, 1]. Find the global maximum and global minimum values of the function. (f) Using the information from the previous parts, make a rough sketch of the graph of f (:3) 0n [1,1]