question
- To: mathgroup at smc.vnet.net
- Subject: [mg80130] question
- From: Ivan Egorov <egorov at bgu.ac.il>
- Date: Mon, 13 Aug 2007 04:35:22 -0400 (EDT)
Hello, I have 2 questions. I need to write a function maxima[lis_List] which, given a list of numbers, produces a list of those numbers greater than all those that precede them. For example maxima[{ 9, 2, 10, 3, 14, 9}] returns { 9, 10, 14}. You need to use recursion, pattern matching, Select and Join. I also need to write a function derivList[f, x, n_Integer] that returns the list of first n derivatives of themathematical function f (x ) , that is, { f ( x ) , f ' ( x ) , f ' ' ( x ) ,..., f n(x )} . Then, operate your derivList implementation on Exp[-x] Sin[x] to generate the list of derivatives up to the fifth one (that is, returning {f ( x) , f ' ( x ) ,..., f (5) (x )}). Use Plot to plot the results for the range 0<=x<=10 . Use the PlotStyle option to generate a different color for each curve. I realy don't understand what they want in second question. Thanks. I hope that now is readable.