PPT - Exponentials and logarithms - A2 Pure Mathematics

In this PowerPoint, we begin by introducing the concept of exponential function and, by exploring its inverse, we introduce the logarithmic function. We then investigate key features of these functions, including domain, range, graphs, algebraic expressions as well as the most important algebraic properties related with logarithms.
Afterwards, we investigate the process of differentiating and integrating, both logarithmic and exponential functions, alerting for the need to use relevant operational rules, like the “product and quotient rules” for differentiation or the technique of “integration by parts”. For each case, there are worked examples, guided steps and clear explanations.
Additionally, we explore different examples of worked exam-style questions, where all steps are clear and detailed.
Hopefully, this resource can help students in their preparation for examinations and can also be used as a complementary teaching tool, when delivering these topics.