| 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 |