Learning Resources

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Outcomes

In this lesson you will learn

• properties of the function y = e^x
  
  
• the derivative of y = e^x

By the end of this section students will be able to:

• determine, describe, and apply the value for "e"
• determine and apply the derivative of a function
• extend the understanding of exponential growth and decay through multiple contexts
• analyze relations, functions, and their graphs
• use tables and graphs as tools to interpret expressions
• demonstrate an understanding for the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of the tangent line, and their applications
• evaluate and apply limits

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• exponential growth and decay
• slopes of secants and tangents
• interval notation
• continuity
• discontinuity
• intervals of increase and decrease
• asymptotic behaviour
• x and y-intercepts
• the number e
• reflections
• the behaviour of exponential functions
• the definition of the derivative
• the Power Rule for finding derivatives
• limits
• how to calculate the value of an investment with continuous interest (for questions #15 & 16)