Staff

Please select a resource from the list below.

Quick Reference

• Linearity rules
  There are two rules known as linearity rules which, when used with a table of derivatives, enable us to differentiate a wider range of functions. These rules are summarised in this leaflet.
• Linearity rules
  This leaflet explains how to differentiate the sum of two functions, and constant multiples of functions, using 'linearity rules'.
• Table of derivatives
  This leaflet provides a table of common functions and their derivatives.
• Table of derivatives
  This leaflet provides a table of common functions and their derivatives, and the opportunity to practice using it.

Teach Yourself

• Further table of derivatives
  This unit extends the basic table and produces a more complete and therefore more useful table.
• Table of derivatives
  This unit provides a basic table of some standard derivatives. Many of the results are derived.

Practice & Revision

• Basic Differentiation - A Refresher
  This Refresher Booklet has been designed for students who have studied an AS level course in mathematics. It enables the user to practice basic techniques.
• Calculus Refresher
  A refresher booklet on Calculus
• Cwrs Gloywi Calcwlws
  A Calculus Refresher. This booklet revises techniques in calculus (differentiation and integration). This is a welsh language version

Test Yourself

• Diagnostic - Differentiation using a table of derivatives and standard rules (1)
• Diagnostic Test - Differentiation using a table of derivatives and standard rules (2)
• Exercise - Differentiation using a table of derivatives and standard rules 1
• Exercise - Differentiation using a table of derivatives and standard rules 2

Video

A transcript of each video should be available in the Teach Yourself section above.

These videos require Windows Media Player (v10).

Please note: You may experience trouble with more recent upgrades to Internet Explorer (now v.7) and Media Player (now v.11). These no longer support streaming from the mms servers used by mathcentre, so we are recommending that you uninstall IE7 (IE6 lies underneath) and replace the new version of WMP with the fully functioning v.10 (you may need to find a download via google after uninstalling v.11). All those that have done this have reported back that everything is working again.

• Extending the table of derivatives
  In this unit we continue to build up The Table of Derivatives using rules described in other units. (Mathtutor Video Tutorial)
• Using a table of derivatives
  In this unit we construct a Table of Derivatives of commonly occurring functions. This is done using the knowledge gained in previous units on differentiation from first principles. (Mathtutor Video Tutorial)