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# Use of a table of derivatives and standard rules resources

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### Facts & Formulae Leaflets (1)

Differentiation for Economics and Business Studies Functions of One Variable
Overview of differentiation and its applications in Economics. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).

### Practice & Revision (3)

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 (differentiation and integration)
Cwrs Gloywi Calcwlws
A Calculus Refresher. This booklet revises techniques in calculus (differentiation and integration). This is a welsh language version

### Quick Reference (4)

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'. (Engineering Maths First Aid Kit 8.3)
Table of derivatives
This leaflet provides a table of common functions and their derivatives. (Engineering Maths First Aid Kit 8.2)
Table of derivatives
This leaflet provides a table of common functions and their derivatives, and the opportunity to practice using it.

### Teach Yourself (2)

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

### Test Yourself (5)

Diagnostic - Differentiation using a table of derivatives and standard rules (1)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Diagnostic Test - Differentiation using a table of derivatives and standard rules (2)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Diagnostic test in differentiation - Numbas
16 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Exercise - Differentiation using a table of derivatives and standard rules 1
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Exercise - Differentiation using a table of derivatives and standard rules 2
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

### Video (2)

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) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
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) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

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