5 5 5 5 5 5 5 5 5 5 NO CALCULATOR ALLOWED 2 5 -1 XII $(x) 4 f'(x) 5 F"(x) 2 3 4 73 - 1 6 1 -1 -2 -3 5. The table above gives values of a function f, its first derivative f', and its second derivative f" for selected values of x. The function f" is continuous for all real numbers. (a) Let 3 be the function given by g(x) = (2x - 1)f (x). Find g'(3). prouot nile 3(2) - 2 fic + f 4) (22-) 9'43) = 2.4is) + f1a) |213) -1) =219) + (-1)(5) ani Do not write beyonu Luis Durur. (b) Leth be the function given by h(x) = f(f(x)). Find h'(4). ha) = f(f(x), f(x) Ali) = f(f(u)-f(4) = f(3). 6 =(-) (6) = -6 AP Calculus BC Practice Exam 53 NO CALCULATOR ALLOWED (c) Find the value of $* XF"(x) dr. af(x) dx = Do not write beyond this border. (d) Is there a value c, for 3 <<< 4, such that f"(c) = 7 ? Justify your answer. GO ON TO THE NEXT PAGE. 54 AP Calculus BC Practice Exam