41. The graph of f'(x) is shown. Is the following statement true or false? f'(x) is continuous on (-2, 3). A. True B. False 42. Determine all values of x at which the graph of the function f(x) = x -4x + 4 has a horizontal tangent. A. X = 1 B. x = 0 and x = -1 C. X = 0 D. The graph has no horizontal tangents. 43. What is the derivative of cos (x)? A. -sin x B. sec2x C. sec x . tan x D. COS X44. Find the derivative of the function (x) = A. 1'(x) = 75 B. f'(x) = -75 C. 1' (x ) = # D. 1' (X) = - 73 45. What is the derivative of f (x) = 4x3 - 12x2 + 3? A. 12x - 24 B. 4x2 - 12x + 3 C. 12x2 - 24x D. 12x2 - 24x + 3 46. Assume that x and y are both differentiable functions of t. Find of when x = 3 dx_ and dt =2 for the equation y = 2(x2 - 3x). A. -2.5 B. 12 C. 10 D. -4 47. Find the derivative of f(x) = 2x - 5000 at the point x = 3. A. 0 B. 1 C. 2 D. 3 48. A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet deep. 9 A. 40- fu/min 9 B. 100- fu/min 81 C. 20- fu/min 81 D. 507 fu/minf _- 49- Given the function f(x) = (x + 4)4, calculate f \"(2). A. 16 B. 48 C. '32 D. 32 50. When is the tangent line to '0') = 3/; vertical? A. always 8. never C.whenx= 0 0' when X = (-3-) h}