• Chapter 2

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

Differentiating Exponentials and Logarithms (Old Book)

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