Problem 1E: In Exercises 14, estimate the derivative from the table of average rates of change. [HINT: See... Problem 2E: In Exercises 14, estimate the derivative from the table of average rates of change. [HINT: See... Problem 3E: In Exercises 14, estimate the derivative from the table of average rates of change. [HINT: See... Problem 4E: In Exercises 14, estimate the derivative from the table of average rates of change. [HINT: See... Problem 5E: Consider the functions in Exercises 58 as representing the value of an ounce of palladium in U.S.... Problem 6E: Consider the functions in Exercises 58 as representing the value of an ounce of palladium in U.S.... Problem 7E: Consider the functions in Exercises 58 as representing the value of an ounce of palladium in U.S.... Problem 8E: Consider the functions in Exercises 58 as representing the value of an ounce of palladium in U.S.... Problem 9E: In Exercises 912 the function gives the cost to manufacture x items. Find the average cost per unit... Problem 10E: In Exercises 912 the function gives the cost to manufacture x items. Find the average cost per unit... Problem 11E: In Exercises 912 the function gives the cost to manufacture x items. Find the average cost per unit... Problem 12E: In Exercises 912 the function gives the cost to manufacture x items. Find the average cost per unit... Problem 13E: In Exercises 1316 the graph of a function is shown together with the tangent line at a point P.... Problem 14E: In Exercises 1316 the graph of a function is shown together with the tangent line at a point P.... Problem 15E: In Exercises 1316 the graph of a function is shown together with the tangent line at a point P.... Problem 16E: In Exercises 1316 the graph of a function is shown together with the tangent line at a point P.... Problem 17E: In Exercises 1722, say at which labeled point the slope of the tangent is (a) greatest and (b) least... Problem 18E Problem 19E Problem 20E: In Exercises 1722, say at which labeled point the slope of the tangent is (a) greatest and (b) least... Problem 21E: In Exercises 1722, say at which labeled point the slope of the tangent is (a) greatest and (b) least... Problem 22E: In Exercises 1722, say at which labeled point the slope of the tangent is (a) greatest and (b) least... Problem 23E: In each of Exercises 2326, three slopes are given. For each slope, determine at which of the labeled... Problem 24E: In each of Exercises 2326, three slopes are given. For each slope, determine at which of the labeled... Problem 25E: In each of Exercises 2326, three slopes are given. For each slope, determine at which of the labeled... Problem 26E: In each of Exercises 2326, three slopes are given. For each slope, determine at which of the labeled... Problem 27E: In Exercises 2730, find the approximate coordinates of all points (if any) where the slope of the... Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E: Which is correct? The derivative function f(x) tellsus (A) the slope of the tangent line at each of... Problem 35E: Let f have the graph shown. a. The average rate of change of f over [2,4] is (A) greater than f(2).... Problem 36E: A function f has the following graph. a. The average rate of change of f over [0,200] is (A) greater... Problem 37E: In Exercises 3740, use a quick approximation to estimate the derivative of the given function at the... Problem 38E: In Exercises 3740, use a quick approximation to estimate the derivative of the given function at the... Problem 39E: In Exercises 3740, use a quick approximation to estimate the derivative of the given function at the... Problem 40E: In Exercises 3740, use a quick approximation to estimate the derivative of the given function at the... Problem 41E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 42E Problem 43E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 44E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 45E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 46E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 47E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 48E: In Exercises 41-48, estimate the indicated derivative by any method. [HINT: See Example 2.]... Problem 49E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 50E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 51E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 52E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 53E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 54E: In Exercises 4954, (a) use any method to estimate the slope of the tangent to the graph of the given... Problem 55E: In Exercises 55-58, estimate the given quantity. f(x)=ex;estimatef(0) Problem 56E: In Exercises 55-58, estimate the given quantity. f(x)=2ex;estimatef(1) Problem 57E: In Exercises 55-58, estimate the given quantity. f(x)=lnx;estimatef(1) Problem 58E: In Exercises 55-58, estimate the given quantity. f(x)=lnx;estimatef(2) Problem 59E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 60E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 61E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 62E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 63E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 64E: In Exercises 5964, match the graph of f to the graph of f. (The graphs of f are shown after Exercise... Problem 65E: In Exercises 6568 the graph of a function is given. For which x in the range shown is the function... Problem 66E: In Exercises 6568 the graph of a function is given. For which x in the range shown is the function... Problem 67E: In Exercises 6568 the graph of a function is given. For which x in the range shown is the function... Problem 68E: In Exercises 6568 the graph of a function is given. For which x in the range shown is the function... Problem 69E: In Exercises 6972 the graph of the derivative of a function is given. For which x is the (original)... Problem 70E: In Exercises 6972 the graph of the derivative of a function is given. For which x is the (original)... Problem 71E: In Exercises 6972 the graph of the derivative of a function is given. For which x is the (original)... Problem 72E: In Exercises 6972 the graph of the derivative of a function is given. For which x is the (original)... Problem 73E: In Exercises 73 and 74, use technology to graph the derivative of the given function for the given... Problem 74E: In Exercises 73 and 74, use technology to graph the derivative of the given function for the given... Problem 75E: In Exercises 75 and 76, use the method of Example 4 to list approximate values of f(x) for x in the... Problem 76E: In Exercises 75 and 76, use the method of Example 4 to list approximate values of f(x) for x in the... Problem 77E: Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at... Problem 78E: Temperatures on Venus The air temperature one balmy summer evening at your summer resort near... Problem 79E: Demand Suppose the demand for a new brand of sneakers is given by q=5,000,000p, where p is the price... Problem 80E: Demand Suppose the demand for an old brand of TV is given by q=100,000p+10, where p is the price per... Problem 81E: Oil Imports from Mexico The following graph shows approximate daily oil imports to the United States... Problem 82E: Oil Production in Mexico The following graph shows approximate daily oil production by Pemex,... Problem 83E: Prison Population The following curve is a model of the total U.S. prison population as a function... Problem 84E: Demand for Freon 12 The demand for chlorofluorocarbon-12 (CFC-12)the ozone-depleting refrigerant... Problem 85E: Velocity If a stone is dropped from a height of 400 feet, its height after t seconds is given by... Problem 86E: Velocity If a stone is thrown down at 120 ft/s from a height of 1,000 feet, its height after t... Problem 87E: Crude Oil Prices The price per barrel of crude oil in constant 2008 dollars can be approximated by... Problem 88E: Median Home Prices The median home price in the United States over the period January 2010January... Problem 89E: The 2003 SARS Outbreak In the early stages of the SARS (severe acute respiratory syndrome) epidemic... Problem 90E Problem 91E Problem 92E: The 2014 Ebola Outbreak In the first 6 months of the 2014 Ebola outbreak, the total number of... Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E: Subprime Mortgages during the Housing Crisis (Com- pare Exercise 29 in Section 10.4.) The percentage... Problem 98E Problem 99E Problem 100E: Embryo Development The oxygen consumption of a galliform bird embryo increases from the time the... Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E Problem 110E Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E: If the derivative of f is zero at a point, what do you know about the graph of f near that point? Problem 116E Problem 117E Problem 118E Problem 119E Problem 120E Problem 121E Problem 122E Problem 123E Problem 124E Problem 125E Problem 126E Problem 127E Problem 128E Problem 129E Problem 130E: Draw the graph of a function f with the property that the balanced difference quotient gives a less... format_list_bulleted