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Re: Creating a sign chart
*To*: mathgroup at smc.vnet.net
*Subject*: [mg98908] Re: Creating a sign chart
*From*: Helen Read <hpr at together.net>
*Date*: Tue, 21 Apr 2009 05:11:19 -0400 (EDT)
*References*: <gsivd0$9aa$1@smc.vnet.net>
*Reply-to*: HPR <read at math.uvm.edu>
davef wrote:
> Is it possible to render a sign chart in Mathematica 10?
>
> Typically a sign chart is used with the first and second derivatives
> to identify extrema. I know there are other ways to convey this
> information. However, in my case I need to demonstrate a sign chart by
> means of an illustation. I can create a graphic in Visio and import into
> Mathematica but I would prefer if there were a means of generating such
> a chart directly in Mathematica.
>
> Something like:
>
> +++++++++++++++------------
Something like this?
f[x_] = 10 + 108 x - 27 x^2 + 2 x^3
first[x_] := If[f'[x] == 0, x, If[Sign[f'[x]] > 0, "+", "-"]];
second[x_] := If[f''[x] == 0, x, If[Sign[f''[x]] > 0, "+", "-"]];
Labeled[Row[Table[first[x], {x, 0, 10, 1/2}]], "First derivative"]
Labeled[Row[Table[second[x], {x, 0, 10, 1/2}]], "Second derivative"]
--
Helen Read
University of Vermont
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