1. 14. Which of the following is true ?   (2 + a) 2 f″(1) (2 – a)2 f″(– 1) = 0   (2 – a) 2 f″(1) – (2 + a)2 f″(– 1) = 0   f′(1) f′(–1) = (2 – a)2   f′(1) f′(–1) = – (2 + a)2   Hint Half-n-half Clue   2. 15. Which of the following is true ?   f(x) is decreasing on (–1, 1) and has a local minimum at x = 1   f(x) is increasing on (–1, 1) and has a local maximum at x = 1   f(x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1   f(x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1   Half-n-half Clue   3. 16. Let g(x) = ex ∫ 0 f′(t) 1 + t2 dt Which of the following is true ?   g′(x) is positive on (–∞, 0) and negative on (0, ∞)   g′(x) is negative on (–∞, 0) and positive on (0, ∞)   g′(x) changes sign on both (–∞, 0) and (0, ∞)   g′ (x) does not change sign on (–∞, ∞)   Half-n-half Clue