Content deleted Content added
Kevin Baas (talk | contribs) resp. |
reply |
||
Line 74:
And: I don't think your little explanation of differentation at the the top is really going to do any good. I think they'll just have to go to the diff. page for that. That is, I think that this page should assume knowledge of differentation as a prerequisite. The top could tell them that they need differentation and provide a link.
[[User:Kevin_baas]] 2003.06.29
----
*Implicit differentiation = ? How?
*With regard to the spatial visualisation of inverse=reciprocal for derivatives. - sure! That might be a useful addition to the page so long as it is not presented as a proof. Keep in mind though that visualisation can lead us astray as the functions we visualise tend to be 'nice'.
*dx is not a function of x. It is a differential, originally defined as representing an infinitesimal variation in x. Derivatives as originally defined were simply fractions of these things while integrals were infinite sums. However after Berkeleys attack on the notion of infinitesimal, differentials became regarded as dangerous items when appearing by themselves, and most people preferred to talk about them only when safely confined in a derivative or integral. This situation still holds today.
* You might be right about the explanation of differentiation. I felt that something needed to be said - a one sentence brief description of some sort. But it is really hard to write a good one. If you can write a better one - go for it.
[[user:hawthorn|hawthorn]]
| |||