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Resource type 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.
Resource type Differentiation from first principles
After reading this text, and/or viewing the video tutorial on this topic, you should be able to understand the process involved in differentiating from first principles and differentiate some simple functions from first principles.
Resource type Differentiation by taking logs
In this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (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.
Resource type Differentiation by taking logs
In this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (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.
Resource type Differentiation by taking logarithms
In this unit we look at how we can use logarithms to simplify certain functions before we differentiate them.
Resource type Integration as the reverse of differentiation
This unit explain integration as the reverse of differentiation.
Resource type Differentiation for Economics and Business Studies Functions of Multi-Variable Functions (SOURCE)
Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of Multi-Variable Functions" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Resource type Differentiation from first principles (powers of x)
In this unit we explain how to differentiate powers of x from first principles. (Mathtutor Video Tutorials) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Faulty Tyres - David Saunders
This mathtutor extension discusses how mathematical modelling using differentiation may be used to determine optimum delivery sizes. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Parametric differentiation
This unit explains how to differentiate a function defined parametrically.
Resource type Differentiation from first principles (powers of x)
In this unit we explain how to differentiate powers of x from first principles. (Mathtutor Video Tutorials) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type 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.
Resource type Product Rule Practice - Numbas
10 questions on the product rule in differentiation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Quotient rule practice - Numbas
8 questions on the quotient rule in differentiation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Partial Differentiation Test 01 (DEWIS)
Four questions on partial differentiation. The first two involve finding the first and second partial derivative of a polynomial in x and y. The third involves finding a first partial derivative using the chain rule. The fourth involves finding a second partial derivative involving the product rule. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type 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.
Resource type Integration as the reverse of differentiation
Integration is introduced here as the reverse of differentiation. (Engineering Maths First Aid Kit 8.6)
Resource type 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) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Diagnostic test in basic calculus - Numbas
12 calculus questions, differentiation and integration. Useful for self diagnosis. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type 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)
Resource type The quotient rule
This teach-yourself workbook explains the quotient rule for differentiation.
Resource type Tangents and Normals
This unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent. (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.
Resource type Integration using a table of anti-derivatives
We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of Differentiation. (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.
Resource type Tangents and Normals
This unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Integration using a table of anti-derivatives
We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of Differentiation. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The product rule
This workbook explains the product rule for differentiation

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