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23. The maximum value of /(x) =2x' -15x3 +36x on the closed interval [0,4] is (A) 28 (B) 30 (C) 32 (D) 48 24. Consider the function f defined by /(x)= whose first and second derivatives are given by G.x and f"(x) = 18(1-12) (x2 4 3)3 respectively. a. Use f' (x) to find any critical numbers. b. Construct a chart or number line and use the First Derivative Test to identify (state) the intervals of increasing and decreasing and state the location of any extrema. c. Solve f" (x) =0 d. Construct a chart or number line and use the Test for Concavity to determine (state) the intervals of concavity and state any point(s) of inflection. c. Construct the graph of f on the coordinate plane to the right