Prompt No calculator is allowed on this question. X 1 2 3 4 f(x) 5 9 6 2 f'(x) 8 1 -4 -5 f"(x) -10 -6 -2 2 The above table gives selected values for a function f and its first and second derivatives, where "(x) is everywhere continuous. f(x) a. Define g(x) = Find g'(2). 3x+2 b. Define h(x) = f(f(x)). Find h'(4). c. Evaluate fx. f" (x)dx. d. Is there a value c, 3 c < 5 for which f" (c) = 1? Justify your answer.