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Mathematics Home
Nelson Education > School > Mathematics > Advanced Functions and Introductory Calculus >  Teacher Centre > Web Links > Chapter 7
 

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Chapter 7: Rates of Change in Exponential and Logarithmic Function Models

Chapter Problem
Chapter Challenge 1
Chapter Challenge 2
  7.1 Introducing a Special Number, e
  7.2 The Derivative of y = ex
  7.3 The Natural Logarithm and its Derivative
  7.4 Differentiating Other Logarithmic and Exponential Functions
  7.5 Sketching Graphs of Exponential and Logarithmic Functions
  7.6 Models of Exponential Growth

 

 

Chapter Problem

  BREEDING LIKE RABBITS
A Web site that explores how the introduction of the rabbit into Australia affected the ecological balance of the country.
  ENVIORNMENTAL DAMAGE CAUSED BY RABBITS
A Web site that examines the ecological damage the rabbit has caused in Australia.
  PASTEUR IN AUSTRALIA
An interesting look at the role Louis Pasteur played in the attempted eradication of rabbits from Australia in the 1800s.
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Chapter Challenge 1

  KILAUEA VOLCANO
A Web site that looks at the available eruption information pertaining to one of the most active volcanoes on earth.
  HAWAIIAN VOLCANO OBSERVETORY
A Web site that provides up to date information of eruptions and lava flow of the Kilauea volcano.
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Chapter Challenge 2

  INFLATION CALCULATOR
An online calculator provided by the Bank of Canada that allows you to compare the cost of goods and services from as early as 1914 to any year up to the present.
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7.1 Introducing a Special Number, e

  SOLVING EXPONENTIAL EQUATIONS INVOLVING e
An interactive online tutorial (with audio) that demonstrates how to solve exponential equations that involve e.
  A LOOK AT THE NUMBER e
An applet that allows you to investigate the behaviour of the function
as x à¥.
  THE NUMBER e QUIZ
An online quiz that can be used to test your understanding of the number e and its uses.
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7.2 The Derivative of y = ex

  THE DERIVATIVE OF y = ex
An applet that allows you to investigate the value of a in the function y = ax that produces a tangent line with a slope of 1 at (0, 1).
  DERIVATIVE OF THE EXPONENTIAL FUNCTION
An online tutorial that provides examples of differentiating exponential functions.
  THE EXPONENTIAL FUNCTION y = ex
An online tutorial that examines the characteristics of y = ex and provides some examples of differentiating exponential functions.
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7.3 The Natural Logarithm and its Derivative

  DERIVATIVE OF THE NATURAL LOGARITHMIC FUNCTION
An online tutorial that provides examples of differentiating natural logarithmic functions.
  NATURAL LOGARITHMS QUIZ
An online quiz that can be used to test your understanding of the natural logarithm and its use in solving exponential equations.
  THE NATURAL LOGARITHMIC FUNCTION
An online tutorial that defines the natural logarithmic function and provides some examples of differentiating these functions.
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7.4 Differentiating Other Logarithmic and Exponential Functions

  EXPONENTIAL AND LOGARITHMIC FUNCTIONS
An online tutorial that provides some examples of differentiating exponential and logarithmic functions.
  DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS
An online tutorial that provides some examples of differentiating exponential and logarithmic functions.
  DERIVATIVE CALCULATOR
An applet that can be used to check whether or not you differentiated a composite function correctly.
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7.5 Sketching Graphs of Exponential and Logarithmic Functions

  FUNCTION PLOTTER
An online applet that enables you to graph a function and check the accuracy of the graph you created by hand.
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7.6 Models of Exponential Growth

  EXPONENTIAL GROWTH AND DECAY
An online tutorial that provides examples of solving problems involving exponential growth and decay.
  LOGISTIC GROWTH
An online tutorial that provides an example and an applet that illustrates logistic growth in a population.
  MODELLING REAL WORLD DATA USING EXPONETIAL AND LOGARITHMIC FUNCTIONS
An online quiz that can be used to test your understanding of the use of exponential and logarithm functions to solve real world problems.
  EXPONENTIAL GROWTH AND DECAY
An online tutorial that provides examples of solving problems involving exponential growth and decay – compound interest, natural growth, and radioactive decay.
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