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Re: Finding derivatives of a list?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40821] Re: Finding derivatives of a list?
  • From: bobhanlon at aol.com (Bob Hanlon)
  • Date: Sat, 19 Apr 2003 23:03:00 -0400 (EDT)
  • References: <b7qp61$3jq$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Needs["Graphics`Colors`"];

Table of function at equally spaced points

data= Table[{x,x(x-2)(x+3)}, {x,-4, 3, .25}];

Defining an interpolating function from the points

f= Interpolation[data];

Plot[{f[x], f'[x],f''[x]}, {x,-4,3}, 
    PlotStyle->{Blue, Green, Red}];

The second derivates at the points:

{#,f''[#]}& /@ data[[All,1]]


Bob Hanlon

In article <b7qp61$3jq$1 at smc.vnet.net>, <siegman at stanford.edu> wrote:

<< 
Subject:	Finding derivatives of a list?
From:		AES/newspost <siegman at stanford.edu>
To: mathgroup at smc.vnet.net
Date:		Sat, 19 Apr 2003 06:09:05 +0000 (UTC)

Specific problem is how to generate a list of values of the second 
derivative of a relatively smooth function at a set of equally spaced 
points, when the function itself is known only as a list of numerical 
values at those same points?

-- 
"Power tends to corrupt.  Absolute power corrupts absolutely."  
Lord Acton (1834-1902)
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advertising  corrupts totally." (today's equivalent)  












 >><BR><BR>


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