Differentiation

Skill Type Description Source
11.1 Introducing Differentiation 2 Workbook Explain what is meant by the tangent to a curve + explain what is meant by the gradient of a curve at a point + calculate the derivative of a number of simple functions from first principles HELM
Introduction to Differentiation Worksheet This leaflet provides a rough and ready introduction to differentiation and gives some common terminology and notation MathsCentre
11.2 Using a Table of Derivatives 11 Workbook Use a table of derivatives to perform differentiation HELM
Introduction to Differentiation Worksheet This leaflet provides a rough and ready introduction to differentiation. This is a technique used to calculate the gradient, or slope, of a graph at different points MathsCentre
Differentiation 1 Worksheet On completion of this worksheet you should be able to differentiate functions involving powers of x Coventry University
Linearity Rules Worksheet 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 MathsCentre
Linearity Rules Worksheet This leaflet explains how to differentiate the sum of two functions, and constant multiples of functions, using 'linearity rules' MathsCentre
Extending the Table of Derivatives Booklet This unit extends the basic table and produces a more complete and therefore more useful table MathsCentre
Table of Derivatives Worksheet This leaflet provides a table of common functions and their derivatives MathsCentre
Table of Derivatives Worksheet This leaflet provides a table of common functions and their derivatives, and the opportunity to practice using it. MathsCentre
Table of Derivatives Booklet This unit provides a basic table of some standard derivatives. Many of the results are derived MathsCentre
Differentiating sin(x) and cos(x) From First Principles Booklet After reading this text, and/or viewing the video tutorial on this topic, you should be able to differentiate the functions sin(x)and cos(x) from first principles MathsCentre
Tangents and Normals Booklet This unit explains how to calculate the equation of the tangent and the normal to a curve at a given point MathsCentre
Differentiating powers of x MiniClip Differentiating powers of x Leeds University
Differentiating powers of x Video - 14 mins If y=xn then dy/dx = nxn-1. This result is derived in this unit and illustrated with several examples, including cases where n is negative, or is a fraction MathTutor
Extending the table of derivatives Video - 22 mins In this unit the Table of Derivatives continues to be built using rules described in other units MathTutor
Using a table of derivatives Video - 20 mins The construction of a Table of Derivatives of common functions using differentiation from first principles. Linearity rules for constant multiples of functions and for sum/difference of two functions, with examples, are explored. The table is extended usi.. MathTutor


Enquries, feedback and comments to: Chetna.Patel@shef.ac.uk


23 February 09