Desperately Difficult Derivative (Posted on 2005-03-30)

	Submitted by Old Original Oskar!
Rating: 3.8000 (5 votes)
Solution:	(Hide)
As sin(x)=x-x^3/3!+x^5/5!-x^7/7!..., f(x)=x^3-x^9/3!+x^15/5!-x^21/7!...= (terms x^K for K<2001) -x^2001/667! + (terms x^K for K>2001). Differentiating 2001 times, we get -2001!/667! + (terms x^K for K>0) so at 0, the result is -2001!/667!.

	Subject	Author	Date
	Puzzle Thoughts	K Sengupta	2023-03-26 08:49:40
	No Subject	Vee-Liem Veefessional	2010-04-19 18:06:51
	re(3): solution?	Old Original Oskar!	2005-04-04 18:54:39
	re(4): solution?	ajosin	2005-04-01 23:03:53
	re(3): solution?	armando	2005-04-01 10:29:19
	re(2): solution?	ajosin	2005-03-31 19:11:55
	re: Simple solution (spoiler alert!)	Charlie	2005-03-31 15:09:28
	Simple solution (spoiler alert!)	ajosin	2005-03-30 22:31:43
	re: solution?	Old Original Oskar!	2005-03-30 20:50:05
	solution?	armando	2005-03-30 19:27:14