PPT - Differentiation and integration methods - A2 Pure Mathematics

In this PowerPoint, we explore different forms of differentiating and integrating functions.
We include the study of trigonometric, exponential and logarithmic functions, whether we wish to differentiate or integrate them. Additionally, we also take a close look on how to differentiate functions which are defined parametrically or implicitly, including the “product rule” and “quotient rule” for differentiation.
In the section of “Integration”, apart from the already mentioned functions, we also include slides where we study the methods of “integration by parts” and the method of “integration with a substitution”. For all these cases, there are worked examples with explanations and tips for similar cases.
Finally, the last section of this resource includes a series of solved exam-style questions, where we go over some of the typical questions related, by explaining each step taken as well as relevant comments to help understand the rational used in each of those questions.
Hopefully, this resource can help students in their preparation for examinations which require differentiation and integration techniques and can also be used as a complementary teaching tool, when delivering these topics.