QUESTION 1. The domain of f(x) = is: x2 - 4 A. - 00, -20, 1] D. ]- 00, -21 B.- 00, -2] U [0, 1] E. [-2, 0[U[2, col C. ] - 2, 0] U]2, col F. 12, co[.QUESTION 2. The table gives info on f(x), g(x), f'(x) and g'(x) for some x . Consider h(x) = (fog) (x). 1 2 3 4 f(x) 1 g (ac) 3 2 f' (x) 3 4 g' (x) 4 4 3 2 Find the correct answer: A. h(2) = 1 , h'(2) = 12. D. h(2) = 8 , h'(2) = 6. B. h(2) = 8 , h'(2) = 9 E. h(2) = 8, h'(2) = 1. C. h(2) = 1 , h'(2) =6 F. h(2) = 4, h'(2) = 12. Answer: Chain rule says: h'(2) = f'(g(2))g'(2) = f'(2) x 4 = 3 x 4 = 12. Note h(2) = f(g(2)) = f(2) = 4, hiha SO: QUESTION 3. Find the derivative of f(x) = In 2" sin(2:x) (x+ 1)5ex-2 .. 5 A. In(2) + 2 cot(2x) D. In(2) - 2 cot(2x) + 2x x+1 B. - + 2 cot(2x) - 1 (2 + 1)5 - 2x 5 E. In(2) + 2 cot(2x) - 2x C. In(2) + 2 2 F. 2 5 cos (2.x) - 2x cos (2x)