1 Preliminaries 2 Functions, Limits, And The Derivative 3 Differentiation 4 Applications Of The Derivative 5 Exponential And Logarithmic Functions 6 Integration 7 Additional Topics In Integration 8 Calculus Of Several Variables A Appendix A B Appendix B expand_more
3.1 Basic Rules Of Differentiation 3.2 The Product And Quotient Rules 3.3 The Chain Rule 3.4 Marginal Functions In Economics 3.5 Higher-Order Derivatives 3.6 Implicit Differentiation And Related Rates 3.7 Differentials Chapter Questions expand_more
Problem 1CQ: State the following rules of differentiation in your own words. a. The rule for differentiating a... Problem 2CQ Problem 3CQ Problem 4CQ Problem 1E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 1.... Problem 2E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 2.... Problem 3E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 3.... Problem 4E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 4.... Problem 5E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 5.... Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 10.... Problem 11E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 11.... Problem 12E Problem 13E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 13.... Problem 14E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 14.... Problem 15E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 15.... Problem 16E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 16.... Problem 17E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 17.... Problem 18E Problem 19E Problem 20E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 20.... Problem 21E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 21.... Problem 22E Problem 23E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 23.... Problem 24E Problem 25E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 25.... Problem 26E Problem 27E Problem 28E Problem 29E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 29.... Problem 30E Problem 31E Problem 32E Problem 33E: In Exercises 1-34, find the derivative of the function f by using the rules of differentiation. 33.... Problem 35E: Let f(x) = 2x3 4x. Find: a. f(2) b. f(0) c. f(2) Problem 36E: Let f(x) = 4x5/4 + 2x3/2 + x. Find: a. f(4) b. f(6) Problem 37E: In Exercises 37-40, find each limit by evaluating the derivative of a suitable function at an... Problem 38E: In Exercises 37-40, find each limit by evaluating the derivative of a suitable function at an... Problem 39E: In Exercises 37-40, find each limit by evaluating the derivative of a suitable function at an... Problem 40E Problem 41E: In Exercises 41-44, find the slope and an equation of the tangent line to the graph of the function... Problem 42E: In Exercises 41-44, find the slope and an equation of the tangent line to the graph of the function... Problem 43E: In Exercises 41-44, find the slope and an equation of the tangent line to the graph of the function... Problem 44E: In Exercises 41-44, find the slope and an equation of the tangent line to the graph of the function... Problem 45E Problem 46E: Let f(x) = x3 4x2. Find the points on the graph of f where the tangent line is horizontal. Problem 47E Problem 48E Problem 49E: Let f(x) = 14x4 x 13x3 x2. Find the points on the graph of f where the slope of the tangent line is... Problem 50E: A straight line perpendicular to and passing through the point of tangency of the tangent line is... Problem 51E Problem 52E: Velocity Of Blood In An Artery The velocity (in centimeters per second) of blood r cm from the... Problem 53E: Growth Of Tablet And Smartphone Users The number of tablets and smartphones in use worldwide (in... Problem 54E: U.K. Mobile Phone Video Viewers As mobile phones continue to proliferate, more and more people will... Problem 55E: Married Couples With Children The percentage of families that were married couples with children... Problem 56E: Effect Of Stopping On Average Speed According to data from a General Motors study, the average speed... Problem 57E Problem 58E Problem 59E: Stopping Distance Of A Racing Car During a test by the editors of an auto magazine, the distance s... Problem 60E Problem 61E Problem 62E: Spending On Medicare Based on the current eligibility requirement, a study conducted in 2004 showed... Problem 63E: Consumer Price Index All economy's consumer price index (CPI) is described by the function I(t) =... Problem 64E: Worker Efficiency An efficiency study conducted for Elektra Electronics showed that the number of... Problem 65E: Curbing Population Growth Five years ago, the government of a Pacific Island country launched an... Problem 66E: Conservation Of Species A certain species of turtle faces extinction because dealers collect... Problem 67E: Flight Of A Model Rocket The altitude (in feet) of a model rocket t sec into a trial flight is given... Problem 68E: Supply Function For Satellite Radios The supply function for a certain make of satellite radio is... Problem 69E Problem 70E: Average Speed Of A Vehicle On A Highway The average speed of a vehicle on a stretch of Route 134... Problem 71E: Effect Of Advertising On Sales The relationship between the amount of money x that Cannon Precision... Problem 72E: National Health Care Expenditure The per capita health spending in the United States in year t for... Problem 73E Problem 74E: Aging Population The population age 65 and over (in millions) of developed countries from 2005... 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