Wikipedia:Reference desk/Archives/Mathematics/2010 July 3

= July 3 =

Notation for a non-derivative with prime (')
Let's say $${}_{\color{white}.}\varepsilon = X\cdot{Y}{\color{white}\Big|}\,\!$$ and $${}_{\color{white}.}\mbox{secondary }\varepsilon=\varepsilon'=\frac{X}{Y^2};{}_{\color{white}.}\,\!$$. What if, in certain cases, you want to identify $$X\,\!$$ and——therefore——$${}_{\color{white}.}\varepsilon{\color{white}|}\,\!$$, with respect to $$\lambda\,\!$$?: $${\color{white}\Big|}\varepsilon(\lambda)=X\cdot{Y}(\lambda)\,\!$$. But what about $${}_{\color{white}.}\varepsilon'\,\!$$? Is there a standard/established modification for the non-derivative $$\varepsilon'\,\!$$, maybe $$\varepsilon(\lambda)'\,\!$$ or $$\varepsilon'|(\lambda){}_{\color{white}.}\,\!$$? $$(\varepsilon')(\lambda){}_{\color{white}.}\,\!$$ seems awkward. P=|  ~ Kaimbridge ~  (talk) 18:06, 3 July 2010 (UTC)


 * It would just be $$\varepsilon'(\lambda)$$. You just have to tell that it isn't a derivative from context. If the context isn't clear enough, then don't use primes to distinguish between functions. Use $$\tilde\varepsilon$$ or something. --Tango (talk) 18:22, 3 July 2010 (UTC)