Problem 1E: Product Rule Describe the Product Rule in your own words. Problem 2E: Quotient Rule Describe the Quotient Rule in your own words. Problem 3E: Trigonometric Functions What are the derivatives of tan x. cot x. sec x. and csc x ? Problem 4E Problem 5E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 6E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 7E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 8E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 9E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 10E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 11E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 12E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 13E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 14E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 15E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 16E Problem 17E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c).... Problem 18E Problem 19E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c). f(x)=x24x3,c=1 Problem 20E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c). f(x)=x4x+4,c=3 Problem 21E: Finding and valuating a Derivative In Exercises 17-24, find f(x) and f(c). f(x)=xcosx,c=4 Problem 22E Problem 23E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f(x). f(x)=exsinx,c=0 Problem 24E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f(c). f(x)=cosxex,c=0 Problem 25E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 26E Problem 27E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 28E Problem 29E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 30E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 31E: Finding a Derivative In Exercises 31-42 find the derivative of the algebraic function. f(x)=43xx2x21 Problem 32E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 33E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 34E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 35E: Finding a Derivative In Exercises 31-42, find the derivate of the algebraic function. f(x)=3x1x Problem 36E Problem 37E Problem 38E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 39E Problem 40E Problem 41E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 42E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 43E: Finding a Derivative of a Transcendental Function In Exercises 43-60, find the derivative of the... Problem 44E Problem 45E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 46E: Finding a Derivative of a Transcendental Function In Exercises 43-60, find the derivative of the... Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 54E Problem 55E Problem 56E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 57E Problem 58E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 59E Problem 60E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E: Finding an Equation of a Tangent Line In Exercises 67-74, (a) find an equation of the tangent line... Problem 68E: Finding an Equation of a Tangent Line In Exercises 67-74, (a) find an equation of the tangent line... Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E: Finding an Equation of a Tangent Line In Exercises 67-74, (a) find an equation of the tangent line... Problem 75E Problem 76E: Famous Curves In Exercises 75-78, find an equation of the tangent line to the graph at the given... Problem 77E Problem 78E Problem 79E Problem 80E: Horizontal Tangent Line In Exercises 79-82,determine the point(s) at which the graph of the function... Problem 81E Problem 82E: Horizontal Tangent Line In Exercises 79-82, determine the point(s) at which the graph of the... Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E: Finding Derivatives In Exercises 87 and 88, use the graphs of f and g. Let p(x)=f(x)g(x) and... Problem 88E: Finding Derivatives In Exercises 87 and 88, use the graphs of f and g. Let p(x)=f(x)g(x) and... Problem 89E Problem 90E Problem 91E Problem 92E: Population Growth A population of 500 bacteria is introduced into a culture and grows in number... Problem 93E Problem 94E Problem 95E: Modeling Data The table shows the health care expenditures h (in billions of dollars) in the United... Problem 96E: Satellites When satellites observe Earth, they can scan only part of Earth's surface. Some... Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E Problem 110E: Finding a Higher-Order Derivative In Exercises 109-112, find the given higher-order derivative.... Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E Problem 117E: Higher-Order Derivatives Polynomials of what degree satisfy f(n)=0? Explain your reasoning. Problem 118E: Differentiation of Piecewise Functions Describe how you would differentiate a piecewise function.... Problem 119E Problem 120E Problem 121E Problem 122E Problem 123E Problem 124E Problem 125E Problem 126E: Acceleration The velocity of an automobile starting from rest is v(t)100t2t+15 where v is measured... Problem 127E: Stopping Distance A car is traveling at a rate of 66 feet per second (45 miles per hour) when the... Problem 128E: HOW DO YOU SEE it? The figure shows the graphs of the position, velocity, and acceleration functions... Problem 129E Problem 130E Problem 131E Problem 132E Problem 133E Problem 134E Problem 135E Problem 136E Problem 137E: Differential Equations In Exercises 135-138, verify that the function satisfies the differential... Problem 138E Problem 139E Problem 140E Problem 141E Problem 142E: True or False? In Exercises 139-144, determine whether the statement is true or false. If it is... Problem 143E Problem 144E Problem 145E Problem 146E format_list_bulleted