1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques, L’ho?pital’s Rule, And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-Valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
3.1 The Derivative And The Tangent Line Problem 3.2 Basic Differentiation Rules And Rates Of Change 3.3 Product And Quotient Rules And Higher-Order Derivatives 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Derivatives Of Inverse Functions 3.7 Related Rates 3.8 Newton's Method Chapter Questions expand_more
Problem 1E Problem 2E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 3E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... Problem 4E: Using the Product Rule In Exercises 5-10, use the Product Rule to find the derivative or the... 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 Problem 8E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 9E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 10E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 11E: Using the Quotient Rule In Exercises 11-16, use the Quotient Rule to find the derivative of the... Problem 12E Problem 13E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c).... Problem 14E Problem 15E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c). f(x)=x24x3,c=1 Problem 16E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f'(c). f(x)=x4x+4,c=3 Problem 17E: Finding and valuating a Derivative In Exercises 17-24, find f(x) and f(c). f(x)=xcosx,c=4 Problem 18E Problem 19E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f(x). f(x)=exsinx,c=0 Problem 20E: Finding and Evaluating a Derivative In Exercises 17-24, find f(x) and f(c). f(x)=cosxex,c=0 Problem 21E Problem 22E Problem 23E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 24E Problem 25E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 26E: Using the Constant Multiple Rule In Exercises 25-30, complete the table to find the derivative of... Problem 27E: Finding a Derivative In Exercises 31-42 find the derivative of the algebraic function. f(x)=43xx2x21 Problem 28E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 29E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 30E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... Problem 31E: Finding a Derivative In Exercises 31-42, find the derivate of the algebraic function. f(x)=3x1x Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E: Finding a Derivative In Exercises 31-42, find the derivative of the algebraic function.... 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 of a Transcendental Function In Exercises 43-60, find the derivative of the... Problem 42E Problem 43E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 44E: Finding a Derivative of a Transcendental Function In Exercises 43-60, find the derivative of the... Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... Problem 52E Problem 53E Problem 54E: Finding a Derivative of a Transcendental Function In Exercises 43-60. find the derivative of the... 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 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 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 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 Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E Problem 117E Problem 118E Problem 119E Problem 120E Problem 121E Problem 122E Problem 123E Problem 124E: Acceleration The velocity of an automobile starting from rest is v(t)100t2t+15 where v is measured... Problem 125E: Stopping Distance A car is traveling at a rate of 66 feet per second (45 miles per hour) when the... Problem 126E: HOW DO YOU SEE it? The figure shows the graphs of the position, velocity, and acceleration functions... Problem 127E Problem 128E Problem 129E Problem 130E Problem 131E Problem 132E Problem 133E Problem 134E Problem 135E: Differential Equations In Exercises 135-138, verify that the function satisfies the differential... Problem 136E Problem 137E Problem 138E Problem 139E Problem 140E Problem 141E Problem 142E Problem 143E Problem 145E Problem 144E format_list_bulleted