• Chapter 3 – Exponential and Logarithmic Functions

When students have completed this lesson they should be able to:

• Understand the idea of continuous exponential growth and decay

• Know the principal features of exponential functions and their graphs

• Know the definition and properties of logarithmic functions

• Switch between the exponential and logarithmic forms of an equation

• Understand the idea and possible uses of a logarithmic scale

• Be familiar with logarithms to the special bases e and 10

• Solve equations and inequalities with the unknown in the index

• Use logarithms to identify models of the forms

Chapter 4 – Differentiating Exponentials and Logarithms

When students have completed this lesson they should be able to:

• Understand how to find the derivative of b^x from the definition

• Understand the reason for selecting e as the exponential base

• Know the derivative and integral of e^x

• Know the derivative of ln x, and how to obtain it

• Know the integral of 1/x, and be able to use it for both positive and negative x

Use the extended methods from P1 Chapter 12 to broaden the range of functions that you can differentiate and integrate