DERIVATES TEST AME: DATE: 13. Find f'(2) if f(x) = 2(1- x)4. a. 8 C. 16 b. 8 14. Find f'(3) if A(x) _ X - x- 2 x - 2 a. -1 C. -3 b. 2 1 15. Determine the equation of the tangent to the graph of y = x' - 3x* + x + 3 at the point (-1, -2). a. y = 10x + 8 c. y = 4x + 2 b. y =-5x- 7 d. y = 10x - 8 16. Find the points on the curve y = 2x + 3x- - 36x + 40 where the tangent line is horizontal. a. (1, 9) and (-1, 77) c. (0, 40) and (2, -4) b. (-3, 121) and (2, -4) d. (1, 9) and (2, -4) 17. The position function of an object is given by s(!) - (1-) - + 3 , where time, I, is in seconds and distance, S, is in metres. What is the object's acceleration at / = 1? a. 6 m/s2 c. 3 m/s2 b. -1 m/s2 d. 0m/s