Precalculus + Mylab Math With Pearson Etext -- 18 Week Access Card Package
Precalculus + Mylab Math With Pearson Etext -- 18 Week Access Card Package
6th Edition
ISBN: 9780136166344
Author: Robert F. Blitzer
Publisher: Pearson College Div
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Concept explainers

Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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Chapter 11.4, Problem 25PE

(a)

To determine

To calculate: The derivative of the function f(x)=4x that is, f'(x) at x.

(b)

To determine

To calculate: The slope of the tangent line to the graph of f(x)=4x at x=−2 and x=1.

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Students have asked these similar questions
a. Find the derivative of f(x) = x2 - 5x at x. That is, find f′(x). b. Find the slope of the tangent line to the graph of f(x) = x2 - 5x at x = -1 and at x = 3.
Suppose the derivative of f exists, and assume that f(2) = 1, and f'(2) = 2. Let g(x) = x2f(x), and h(x) = f(x) / x-1. a.) g'(2) = ? Find the equation of the tangent line to g(x) at x = 2. y = ? b.) h'(2) = Find the equation of the tangent line to h(x) at x = 2. y = ?
Find the derivative of f(h(x))?  What is the slope of the tan line at x=0.  f'(x)=(3x^2)+3 h(x)=2x+1

Chapter 11 Solutions

Precalculus + Mylab Math With Pearson Etext -- 18 Week Access Card Package

Ch. 11.1 - Check Point 1 Find: . Ch. 11.1 - Prob. 2CPCh. 11.1 - Prob. 3CPCh. 11.1 - Prob. 4CPCh. 11.1 - Prob. 5CPCh. 11.1 - Prob. 1CVCCh. 11.1 - Prob. 2CVCCh. 11.1 - Prob. 3CVCCh. 11.1 - Fill in each blank so that the resulting statement...Ch. 11.1 - Fill in each blank so that the resulting statement...
Ch. 11.1 - Fill in each blank so that the resulting statement...Ch. 11.1 - Prob. 7CVCCh. 11.1 - In Exercises 1-4, use each table to find the...Ch. 11.1 - Prob. 2PECh. 11.1 - Prob. 3PECh. 11.1 - Prob. 4PECh. 11.1 - Prob. 5PECh. 11.1 - Prob. 6PECh. 11.1 - Prob. 7PECh. 11.1 - Prob. 8PECh. 11.1 - Prob. 9PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 11PECh. 11.1 - Prob. 12PECh. 11.1 - Prob. 13PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 16PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 18PECh. 11.1 - Prob. 19PECh. 11.1 - Prob. 20PECh. 11.1 - Prob. 21PECh. 11.1 - Prob. 22PECh. 11.1 - In Exercises 23-26, use the graph and the viewing...Ch. 11.1 - Prob. 24PECh. 11.1 - Prob. 25PECh. 11.1 - Prob. 26PECh. 11.1 - Prob. 27PECh. 11.1 - Prob. 28PECh. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - Prob. 33PECh. 11.1 - In Exercises 33-54, graph each function. Then use...Ch. 11.1 - Prob. 35PECh. 11.1 - Prob. 36PECh. 11.1 - Prob. 37PECh. 11.1 - Prob. 38PECh. 11.1 - Prob. 39PECh. 11.1 - Prob. 40PECh. 11.1 - Prob. 41PECh. 11.1 - Prob. 42PECh. 11.1 - In Exercises 33-54, graph each function. Then ues...Ch. 11.1 - Prob. 44PECh. 11.1 - Prob. 45PECh. 11.1 - Prob. 46PECh. 11.1 - Prob. 47PECh. 11.1 - Prob. 48PECh. 11.1 - In Exercises 33-54, graph each function. Then ues...Ch. 11.1 - Prob. 50PECh. 11.1 - Prob. 51PECh. 11.1 - Prob. 52PECh. 11.1 - Prob. 53PECh. 11.1 - Prob. 54PECh. 11.1 - Prob. 55PECh. 11.1 - Prob. 56PECh. 11.1 - Prob. 57PECh. 11.1 - Prob. 58PECh. 11.1 - Prob. 59PECh. 11.1 - In Exercises 59-66, use the graph of to graph...Ch. 11.1 - Prob. 61PECh. 11.1 - Prob. 62PECh. 11.1 - Prob. 63PECh. 11.1 - Prob. 64PECh. 11.1 - Prob. 65PECh. 11.1 - Prob. 66PECh. 11.1 - Prob. 67PECh. 11.1 - Prob. 68PECh. 11.1 - Prob. 69PECh. 11.1 - Prob. 70PECh. 11.1 - Prob. 71PECh. 11.1 - Prob. 72PECh. 11.1 - Prob. 73PECh. 11.1 - Prob. 74PECh. 11.1 - Prob. 75PECh. 11.1 - Prob. 76PECh. 11.1 - Prob. 77PECh. 11.1 - Prob. 78PECh. 11.1 - Prob. 79PECh. 11.1 - Prob. 80PECh. 11.1 - Prob. 81PECh. 11.1 - Prob. 82PECh. 11.1 - Prob. 83PECh. 11.1 - Use the ZOOM IN feature of your graphing utility...Ch. 11.1 - Prob. 85PECh. 11.1 - Prob. 86PECh. 11.1 - Prob. 87PECh. 11.1 - In Exercises 85-88, estimate limxaf(x),by using...Ch. 11.1 - Prob. 89PECh. 11.1 - Prob. 90PECh. 11.1 - Make Sense? In Exercises 89-92, determine whether...Ch. 11.1 - Prob. 92PECh. 11.1 - Prob. 93PECh. 11.1 - Prob. 94PECh. 11.1 - Prob. 95PECh. 11.1 - Prob. 96PECh. 11.1 - Prob. 97PECh. 11.1 - Prob. 98PECh. 11.1 - Prob. 99PECh. 11.1 - Prob. 100PECh. 11.1 - Prob. 101PECh. 11.1 - Prob. 102PECh. 11.2 - Check Point 1 Find the following limits: ...Ch. 11.2 - Check Point 2 Find the following limits: limx19x...Ch. 11.2 - Check Point 3 Find: . Ch. 11.2 - Check Point 4 Find: limx14(19x).Ch. 11.2 - Check Point 5 Find: limx7(10x).Ch. 11.2 - Check Point 6 Find the following limits:...Ch. 11.2 - Check Point 7 Find: limx2(7x3).Ch. 11.2 - Prob. 8CPCh. 11.2 - Prob. 9CPCh. 11.2 - Prob. 10CPCh. 11.2 - Check Point 11 Find: limx2x24x+13x5.Ch. 11.2 - Prob. 12CPCh. 11.2 - Prob. 13CPCh. 11.2 - Prob. 14CPCh. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Prob. 3CVCCh. 11.2 - Prob. 4CVCCh. 11.2 - Prob. 5CVCCh. 11.2 - Prob. 6CVCCh. 11.2 - Prob. 7CVCCh. 11.2 - Prob. 8CVCCh. 11.2 - Prob. 9CVCCh. 11.2 - Prob. 10CVCCh. 11.2 - Prob. 11CVCCh. 11.2 - Prob. 12CVCCh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 5PECh. 11.2 - Prob. 6PECh. 11.2 - Prob. 7PECh. 11.2 - Prob. 8PECh. 11.2 - Prob. 9PECh. 11.2 - Prob. 10PECh. 11.2 - Prob. 11PECh. 11.2 - Prob. 12PECh. 11.2 - Prob. 13PECh. 11.2 - Prob. 14PECh. 11.2 - Prob. 15PECh. 11.2 - Prob. 16PECh. 11.2 - Prob. 17PECh. 11.2 - Prob. 18PECh. 11.2 - Prob. 19PECh. 11.2 - Prob. 20PECh. 11.2 - Prob. 21PECh. 11.2 - Prob. 22PECh. 11.2 - Prob. 23PECh. 11.2 - Prob. 24PECh. 11.2 - Prob. 25PECh. 11.2 - Prob. 26PECh. 11.2 - Prob. 27PECh. 11.2 - Prob. 28PECh. 11.2 - Prob. 29PECh. 11.2 - Prob. 30PECh. 11.2 - Prob. 31PECh. 11.2 - Prob. 32PECh. 11.2 - Prob. 33PECh. 11.2 - Prob. 34PECh. 11.2 - Prob. 35PECh. 11.2 - In Exercises 1-42, use properties of limits to...Ch. 11.2 - Prob. 37PECh. 11.2 - Prob. 38PECh. 11.2 - Prob. 39PECh. 11.2 - Prob. 40PECh. 11.2 - Prob. 41PECh. 11.2 - Prob. 42PECh. 11.2 - Prob. 43PECh. 11.2 - Prob. 44PECh. 11.2 - Prob. 45PECh. 11.2 - Prob. 46PECh. 11.2 - Prob. 47PECh. 11.2 - Prob. 48PECh. 11.2 - Prob. 49PECh. 11.2 - Prob. 50PECh. 11.2 - Prob. 51PECh. 11.2 - Prob. 52PECh. 11.2 - Prob. 53PECh. 11.2 - Prob. 54PECh. 11.2 - Prob. 55PECh. 11.2 - Prob. 56PECh. 11.2 - Prob. 57PECh. 11.2 - Prob. 58PECh. 11.2 - 59. The formula Expresses...Ch. 11.2 - Prob. 60PECh. 11.2 - Prob. 61PECh. 11.2 - Prob. 62PECh. 11.2 - Prob. 63PECh. 11.2 - Prob. 64PECh. 11.2 - Prob. 65PECh. 11.2 - 66. Describe how to find the limit of a polynomial...Ch. 11.2 - Prob. 67PECh. 11.2 - Prob. 68PECh. 11.2 - Prob. 69PECh. 11.2 - Prob. 70PECh. 11.2 - Prob. 71PECh. 11.2 - Prob. 72PECh. 11.2 - Prob. 73PECh. 11.2 - Prob. 74PECh. 11.2 - Prob. 75PECh. 11.2 - Prob. 76PECh. 11.2 - Prob. 77PECh. 11.2 - Prob. 78PECh. 11.2 - Prob. 79PECh. 11.2 - Prob. 80PECh. 11.2 - Prob. 81PECh. 11.2 - Prob. 82PECh. 11.2 - Prob. 83PECh. 11.2 - Prob. 84PECh. 11.2 - Prob. 86PECh. 11.2 - Prob. 87PECh. 11.2 - Prob. 88PECh. 11.2 - Prob. 89PECh. 11.2 - Prob. 90PECh. 11.2 - Prob. 91PECh. 11.2 - Prob. 92PECh. 11.3 - Prob. 1CPCh. 11.3 - Prob. 2CPCh. 11.3 - Prob. 1CVCCh. 11.3 - Prob. 2CVCCh. 11.3 - Prob. 3CVCCh. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - Prob. 5CVCCh. 11.3 - Prob. 6CVCCh. 11.3 - Prob. 1PECh. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 5PECh. 11.3 - Prob. 6PECh. 11.3 - Prob. 7PECh. 11.3 - Prob. 8PECh. 11.3 - Prob. 9PECh. 11.3 - Prob. 10PECh. 11.3 - Prob. 11PECh. 11.3 - Prob. 12PECh. 11.3 - Prob. 13PECh. 11.3 - Prob. 14PECh. 11.3 - Prob. 15PECh. 11.3 - Prob. 16PECh. 11.3 - Prob. 17PECh. 11.3 - Prob. 18PECh. 11.3 - Prob. 19PECh. 11.3 - Prob. 20PECh. 11.3 - Prob. 21PECh. 11.3 - Prob. 22PECh. 11.3 - Prob. 23PECh. 11.3 - Prob. 24PECh. 11.3 - Prob. 25PECh. 11.3 - Prob. 26PECh. 11.3 - Prob. 27PECh. 11.3 - Prob. 28PECh. 11.3 - Prob. 29PECh. 11.3 - Prob. 30PECh. 11.3 - Prob. 31PECh. 11.3 - Prob. 32PECh. 11.3 - Prob. 33PECh. 11.3 - Prob. 34PECh. 11.3 - Prob. 35PECh. 11.3 - Prob. 36PECh. 11.3 - Prob. 37PECh. 11.3 - Prob. 38PECh. 11.3 - Prob. 39PECh. 11.3 - Prob. 40PECh. 11.3 - Prob. 41PECh. 11.3 - Prob. 42PECh. 11.3 - Prob. 43PECh. 11.3 - Prob. 44PECh. 11.3 - 45. The following piecewise function gives the tax...Ch. 11.3 - Prob. 46PECh. 11.3 - Prob. 47PECh. 11.3 - Prob. 48PECh. 11.3 - Prob. 49PECh. 11.3 - Prob. 50PECh. 11.3 - Prob. 51PECh. 11.3 - Prob. 52PECh. 11.3 - Prob. 53PECh. 11.3 - Prob. 54PECh. 11.3 - Prob. 55PECh. 11.3 - Prob. 56PECh. 11.3 - Prob. 57PECh. 11.3 - Prob. 58PECh. 11.3 - Prob. 59PECh. 11.3 - Prob. 60PECh. 11.3 - Prob. 61PECh. 11.3 - A lottery game is set up so that each player...Ch. 11.3 - Prob. 63PECh. 11.3 - Prob. 64PECh. 11.3 - Prob. 65PECh. 11.3 - Prob. 66PECh. 11.3 - Prob. 67PECh. 11.3 - Prob. 68PECh. 11.3 - Prob. 1MCCPCh. 11.3 - Prob. 2MCCPCh. 11.3 - Prob. 3MCCPCh. 11.3 - Prob. 4MCCPCh. 11.3 - Prob. 5MCCPCh. 11.3 - Prob. 6MCCPCh. 11.3 - Prob. 7MCCPCh. 11.3 - Prob. 8MCCPCh. 11.3 - Prob. 9MCCPCh. 11.3 - Prob. 10MCCPCh. 11.3 - Prob. 11MCCPCh. 11.3 - Prob. 12MCCPCh. 11.3 - Prob. 13MCCPCh. 11.3 - Prob. 14MCCPCh. 11.3 - Prob. 15MCCPCh. 11.3 - Prob. 16MCCPCh. 11.3 - Prob. 17MCCPCh. 11.3 - Prob. 18MCCPCh. 11.3 - Prob. 19MCCPCh. 11.3 - Prob. 20MCCPCh. 11.3 - Prob. 21MCCPCh. 11.3 - Prob. 22MCCPCh. 11.4 - Check Point 1 Find the slope of the tangent line...Ch. 11.4 - Prob. 2CPCh. 11.4 - Prob. 3CPCh. 11.4 - Prob. 4CPCh. 11.4 - Prob. 5CPCh. 11.4 - Prob. 1CVCCh. 11.4 - Prob. 2CVCCh. 11.4 - Prob. 3CVCCh. 11.4 - Prob. 4CVCCh. 11.4 - Prob. 5CVCCh. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - In Exercises 1-14, Find the slope of the tangent...Ch. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - Prob. 4PECh. 11.4 - Prob. 5PECh. 11.4 - In Exercises 1-14, Find the slope of the tangent...Ch. 11.4 - In Exercises 1-14, Find the slope of the tangent...Ch. 11.4 - Prob. 8PECh. 11.4 - Prob. 9PECh. 11.4 - Prob. 10PECh. 11.4 - Prob. 11PECh. 11.4 - Prob. 12PECh. 11.4 - Prob. 13PECh. 11.4 - Prob. 14PECh. 11.4 - Prob. 15PECh. 11.4 - Prob. 16PECh. 11.4 - Prob. 17PECh. 11.4 - Prob. 18PECh. 11.4 - Prob. 19PECh. 11.4 - Prob. 20PECh. 11.4 - Prob. 21PECh. 11.4 - Prob. 22PECh. 11.4 - Prob. 23PECh. 11.4 - Prob. 24PECh. 11.4 - Prob. 25PECh. 11.4 - Prob. 26PECh. 11.4 - Prob. 27PECh. 11.4 - Prob. 28PECh. 11.4 - Prob. 29PECh. 11.4 - Prob. 30PECh. 11.4 - Prob. 31PECh. 11.4 - Prob. 32PECh. 11.4 - Prob. 33PECh. 11.4 - Prob. 34PECh. 11.4 - Prob. 35PECh. 11.4 - Prob. 36PECh. 11.4 - Prob. 37PECh. 11.4 - Prob. 38PECh. 11.4 - Prob. 39PECh. 11.4 - Prob. 40PECh. 11.4 - Prob. 41PECh. 11.4 - In Exercises 39-42, express all answers in terms...Ch. 11.4 - An explosion causes debris to rise vertically with...Ch. 11.4 - 44. An explosion causes debris to rise vertically...Ch. 11.4 - Prob. 45PECh. 11.4 - Prob. 46PECh. 11.4 - Prob. 47PECh. 11.4 - Prob. 48PECh. 11.4 - Prob. 49PECh. 11.4 - Prob. 50PECh. 11.4 - Prob. 51PECh. 11.4 - Prob. 52PECh. 11.4 - Prob. 53PECh. 11.4 - Prob. 54PECh. 11.4 - Prob. 55PECh. 11.4 - Prob. 56PECh. 11.4 - 57. A calculus professor introduced the derivative...Ch. 11.4 - Prob. 58PECh. 11.4 - Prob. 59PECh. 11.4 - Prob. 60PECh. 11.4 - Use the feature on a graphing utility that gives...Ch. 11.4 - Prob. 62PECh. 11.4 - Prob. 63PECh. 11.4 - Prob. 64PECh. 11.4 - Prob. 65PECh. 11.4 - Prob. 66PECh. 11.4 - Prob. 67PECh. 11.4 - Prob. 68PECh. 11.4 - Prob. 69PECh. 11.4 - Prob. 70PECh. 11.4 - Prob. 71PECh. 11.4 - Prob. 72PECh. 11.4 - Prob. 73PECh. 11.4 - Prob. 74PECh. 11.4 - In Exercises 70-15, graphs of functions are shown...Ch. 11.4 - A ball is thrown straight up from a rooftop 96...Ch. 11.4 - Prob. 77PECh. 11.4 - Prob. 78PECh. 11.4 - Prob. 79PECh. 11.4 - Prob. 80PECh. 11.4 - Prob. 81PECh. 11.4 - Prob. 82PECh. 11.4 - Prob. 83PECh. 11.4 - Prob. 84PECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - In Exercises 54-57. Find f’(x). Find the slope of...Ch. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 1TCh. 11 - In Exercises 2-7, use the graph of function f to...Ch. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - Prob. 5CRECh. 11 - Prob. 6CRECh. 11 - Prob. 7CRECh. 11 - Prob. 8CRECh. 11 - Prob. 9CRECh. 11 - Prob. 10CRECh. 11 - Prob. 11CRECh. 11 - Prob. 12CRECh. 11 - Prob. 13CRECh. 11 - Prob. 14CRECh. 11 - Prob. 15CRECh. 11 - Prob. 16CRECh. 11 - Prob. 17CRECh. 11 - Prob. 18CRECh. 11 - Prob. 19CRECh. 11 - Prob. 20CRECh. 11 - Prob. 21CRECh. 11 - Prob. 22CRECh. 11 - Prob. 23CRECh. 11 - Prob. 24CRECh. 11 - Prob. 25CRECh. 11 - Prob. 26CRECh. 11 - Prob. 27CRECh. 11 - Prob. 28CRECh. 11 - Prob. 29CRECh. 11 - Prob. 30CRECh. 11 - Prob. 31CRECh. 11 - Prob. 32CRECh. 11 - 33. You have 200 feet of fencing to enclose a...Ch. 11 - Prob. 34CRECh. 11 - Prob. 35CRECh. 11 - Prob. 36CRECh. 11 - Prob. 37CRECh. 11 - Prob. 38CRECh. 11 - Prob. 39CRECh. 11 - Prob. 40CRE
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