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Archive for October, 2013
If you have problems remembering which is which with sinh and cosh, or their graphs, or which way around their definitions are:
then it might help if you notice that the graph of sinh is somewhat S-shaped (though backwards), and cosh is C-shaped (though open upwards).
[Well, unless you’re Russian, where the Cyrillic letter Es (‘С’) corresponds to our ‘S’; that might throw a graphemic spanner in the works.]
Here is a summary of rules of derivation (sometimes referred to as differentiation).
I wrote this post as the notation used on other sites is often ambiguous (particularly with juxtapositions that could denote either a product or a function application).
I previously wrote some brief notes on some derivations of the derivation formulae.
I noticed that the formulae for the sizes of the surface (or rather, boundary) and volume (interior) of circles, spheres and hyperspheres seem to have discontinuities (or ‘jumps’) in the index of .
However, this is only a result of simplifying a uniform formula for particular cases.