Available online
Description
This programme examines how the shape of first and second derived functions can give us information about the shape of a function.
This programme examines how the shape of first and second derived functions can give us information about the shape of a function.
| Module code and title: | M101, Mathematics: a foundation course |
|---|---|
| Item code: | M101; 12 |
| First transmission date: | 07-05-1978 |
| Published: | 1978 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:25 |
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| Producer: | Jean Nunn |
| Contributors: | Louis Leithold; Graham Read |
| Publisher: | BBC Open University |
| Keyword(s): | Calculus; Concavity changes; Derivitive tests; Graph of functions; Points of inflection |
| Footage description: | Graham Read introduces the programme and discusses techniques of graph sketching. Louis Leithold, using computer animations, shows how the shape of a derived function can tell us about the shape of the original function, e.g. where there are local extremun. Graham Read works through an example using the first derivative test. Then Louis Leithold demonstrates the second derivative test, again with the aid of a computer animation. Graham Read works through an example using the second derivative test, then Louis Zeithold looks at the nature of the second derivative and at what it can tell us about the behaviour of the function and points of inflection. Graham Read sums up the information about functions that can be obtained by the use of derivatives. |
| Master spool number: | 6HT/72446 |
| Production number: | 00525_4249 |
| Videofinder number: | 2466 |
| Available to public: | no |
