Problem 54E: For the following exercises, use the definition of a 65. Derivative to find f(x) . 54. f(x)=6 Problem 55E: For the following exercises, use the definition of a derivative to find f(x) . 55. f(x)=23x Problem 56E: For the following exercises, use the definition of a derivative to find f(x) . 56. f(x)=2x7+1 Problem 57E: For the following exercises, use the definition of a derivative to find f(x) . 57. f(x)=4x2 Problem 58E: For the following exercises, use the definition of a derivative to find f(x) . 58. f(x)=5xx2 Problem 59E: For the following exercises, use the definition of a derivative to find f(x) . 59. f(x)=2x Problem 60E: For the following exercises, use the definition of a derivative to find f(x) . 60. f(x)=x6 Problem 61E: For the following exercises, use the definition of a derivative to find f(x) 61. f(x)=9x Problem 62E: For the following exercises, use the definition of a derivative to find f(x) 62. f(x)=x+1x Problem 63E: For the following exercises, use the definition of a derivative to find f(x) 63. f(x)=1x Problem 64E: For the following exercises, use the graph of y=f(x) to sketch the graph of its derivative f(x) 64. Problem 65E: For the following exercises, use the graph of y=f(x) to sketch the graph of its derivative f(x) 65. Problem 66E: For the following exercises, use the graph of y=f(x) to sketch the graph of its derivative f(x) 66. Problem 67E: For the following exercises, use the graph of y=f(x) to sketch the graph of its derivative f(x) 67. Problem 68E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 69E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 70E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 71E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 72E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 73E: For the following exercises, the given limit represents the derivative of a function y=f(x) at x =... Problem 74E: For the following functions, sketch the graph and use the definition of a derivative to show that... Problem 75E: For the following functions, sketch the graph and use the definition of a derivative to show that... Problem 76E: For the following functions, sketch the graph and use the definition of a derivative to show that... Problem 77E: For the following functions, sketch the graph and use the definition of a derivative to show that... Problem 78E: For the following graphs, a. determine for which values of x=a the limxaf(x) exists but f is not... Problem 79E: For the following graphs, a. determine for which values of x=a the limxaf(x) exists but f is not... Problem 80E: Use the graph to evaluate a. f’(0.5), b. f’(0), c. f’(1), d. f’(2), and e. f’(3), if it exists. Problem 81E: For the following functions, use f(x)=limh0f(x+h)f(x)h to find f(x) . 81. f(x)=23x Problem 82E: For the following functions, use f(x)=limh0f(x+h)f(x)h to find f(x) . 82. f(x)=4x2 Problem 83E: For the following functions, use f(x)=limh0f(x+h)f(x)h to find f(x) . 83. f(x)=x+1x Problem 84E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 85E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 86E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 87E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 88E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 89E: For the following exercises, use a calculator to graph f(x). Determine the function f(x) , then use... Problem 90E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 91E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 92E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 93E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 94E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 95E: For the following exercises, describe what the two expressions represent in terms of each of the... Problem 96E: Sketch the graph of a function y=f(x) with all of the following properties: f(x)0 for 2x1 f(2)=0... Problem 97E: Suppose temperature T in degrees Fahrenheit at a height x in feet above the ground is given by... Problem 98E: Suppose the total profit of a company is y=P(x) thousand dollars when x units of an item are sold.... Problem 99E: The graph in the following figure models die number of people N(t) who have come down with the flu t... Problem 100E: For the following exercises, use the following table, which show’s the height h of the Saturn V... Problem 101E: [T] Construct a table of values for h' (t) and graph both h(t) and h’(t) on the same graph. (Hint:... Problem 102E: [T] The best linear fit to the data is given by H(t)=7.229t4.905 , where H is the height of the... Problem 103E: [T] The best quadratic fit to the data is given by G(t)=1.429t2+0.0857t0.1429 . where G is the... Problem 104E: [T] The best cubic fir to the data is given by F(t)=0.2037t3+2.956t22.705t+0.4683 , where F is the... Problem 105E: Using the best linear, quadratic, and cubic fits to the data, determine what H(t) , G(t) and F(t)... format_list_bulleted
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