0 Precalculus Review 1 Functions And Applications 2 Nonlinear Functions And Models 3 Introduction To The Derivative 4 Techniques Of Differentiation With Applications 5 Further Applications Of The Derivative 6 The Integral 7 Further Integration Techniques And Applications Of The Integral 8 Functions Of Several Variables 9 Trigonometric Models expand_more
4.1 Derivatives Of Powers, Sums, And Constant Multiples 4.2 A First Application: Marginal Analysis 4.3 The Product And Quotient Rules 4.4 The Chain Rule 4.5 Derivatives Of Logarithmic And Exponential Functions 4.6 Implicit Differentiation Chapter Questions expand_more
Problem 1E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 2E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 3E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 4E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 5E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 6E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 7E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 8E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 9E: In Exercises 112 (a) Calculate the derivative of the given function without using either the product... Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=x3(1x2) Problem 16E Problem 17E Problem 18E Problem 19E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=4x5x2 Problem 20E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=3x3x+2 Problem 21E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=2x+43x1 Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=xx Problem 28E: In Exercises 13-28, calculate dydx. Simplify your answer. [HINT: See Example 1 and 2.] y=x2x Problem 29E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 30E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 31E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 32E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 33E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 34E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 35E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 36E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 37E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 48E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 49E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 50E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 51E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 52E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 53E: In Exercises 29-56, calculate dydx. You need not expand your answers. [HINT: See Example 1 and 2.]... Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E: In Exercises 57-62, compute the indicated derivatives. ddx[(x3+2x)(x2x)]|x=2 Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E: In Exercises 71-76, find the equation of the line tangent to the graph of the given function at the... Problem 73E: In Exercises 71-76, find the equation of the line tangent to the graph of the given function at the... Problem 74E Problem 75E Problem 76E Problem 77E: Revenue The monthly sales of Sunny Electronics new sound system are given by q(t)=2,000t100t2 units... Problem 78E: Revenue The monthly sales of Sunny Electronics new iSun media player is given by q(t)=2,000t100t2... Problem 79E: Saudi Oil Revenues The price of crude oil during the period 2000-2010 can be approximated by... Problem 80E: Russian Oil Revenues The price of crude oil during the period 20002010 can be approximated by... Problem 81E: Revenue Dorothy Wagner is currently selling 20 I Calculus T-shirts per day, but sales are dropping... Problem 82E: Pricing Policy Let us turn Exercise 81 around a little: Dorothy Wagner is currently selling 20 I ... Problem 83E: Bus Travel Thoroughbred Bus Company finds that its monthly costs for one particular year were given... Problem 84E Problem 85E: Fuel Economy Your muscle cars gas mileage (in miles per gallon) is given as a function M(x) ofspeed... Problem 86E: Fuel Economy Your used Chevys gas mileage (in miles per gallon) is given as a function M(x) ofspeed... Problem 87E Problem 88E: Oil Imports from Mexico Daily oil production in Mexico and daily U.S. oil imports from Mexico during... Problem 89E Problem 90E Problem 91E Problem 92E: Biology-Reproduction Another model, the predator satiation model for population growth, specifies... Problem 93E Problem 94E Problem 95E: If f and g are functions of time, and at time t=3, f equals5 and is rising at a rate of 2 units per... Problem 96E: If f and g are functions of time, and at time t=2, f equals 3 and is rising at a rate of 4 units per... Problem 97E: If f and g are functions of time, and at time t=3, f equals 5 and is rising at a rate of 2 units per... Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E format_list_bulleted