• 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