- well im not that far in calculus yet... i found this though.... the function derivative of the delta function: TAKE YOUR PILLS 18:42, 23 September 2008 (EDT)
- The way to see the derivative of the delta function is to just go back to the most general definition of derivative. That is:
δ'(x) = (lim ε->0) [δ(x+ε)-δ(x-ε)]/2ε. Which is called a doublet (e.g two opposite sign delta functions on top of each other). Plug it into the sifting integral and then integrate.
- Then you get:
(lim ε->0) [f(-ε)-f(+ε)]/2ε = -f'(0).
- So while the delta function sifts out the value of a function, the derivative of the delta function sifts out the derivative of the function. --Thc 16:41, 26 October 2008 (EDT)
This talk page has already become one of the most intelligent pages this wiki has ever seen. Too bad most of the 16 year old jihadist pricks on this page won't ever be likely to understand what it says. Anyway, welcome to PvX. Captain Bulldozer Don't TELL me that you're right... prove it. 08:04, September 13, 2009 (UTC)