| type | f(x) |  (x) dx |
|---|---|---|
| constant | a | ax |
| power (n not -1) | xn | xn+1/(n+1) |
| exponential | ex | ex |
| trig functions | sin(x) | -cos(x) |
| cos(x) | sin(x) | |
| sec2(x) | tan(x) | |
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results differentiation |
results integration |
| type | f(x) | (x) dx |
|---|---|---|
| constant | a | ax |
| power (n not -1) | xn | xn+1/(n+1) |
| exponential | ex | ex |
| trig functions | sin(x) | -cos(x) |
| cos(x) | sin(x) | |
| sec2(x) | tan(x) | |
A mathematical function such as y=f(x) defines a value of y for every x.
Differentiation and Integration defines a whole function for a a given input function.
Differentiation defines the rate of change of a given function for every point on that function:
How this is done is explained on this page.
Integration defines the cumulative area under a given function for every point on that function:
How this is done is explained on this page.
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| Correspondence about this page | |
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Book Shop - Further reading. Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them. |
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Commercial Software Shop Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them. |
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Can you help? Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page. |
It would be useful to have a general introduction to calculus. It would also be useful to have the differential and integral for all the standard functions. |
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progam I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here: |
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Copyright (c) 1998-2008 Martin John Baker - All rights reserved - privacy policy.
