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Re: Color according to concavity

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128852] Re: Color according to concavity
  • From: Bob Hanlon <hanlonr357 at gmail.com>
  • Date: Fri, 30 Nov 2012 05:58:05 -0500 (EST)
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  • References: <20121129110446.BF9AD688F@smc.vnet.net>

f[x_] = Sin[x] Cos[2 x];

Plot[f[x], {x, 0, 4 Pi},
 ColorFunction -> Function[{x, y},
   If[f''[x] < 0, Red, Blue]],
 ColorFunctionScaling -> False]


Bob Hanlon


On Thu, Nov 29, 2012 at 6:04 AM, Sergio Miguel Terrazas Porras
<sterraza at uacj.mx> wrote:
>
> Dear fellows at mathgroup:
>
>
>
> I want to plot a function with the color of the parts of the curve according to concavity, say Red when concve down an blue when concave up.
>
>
>
> I can do it by brute force, finding whwn the second derivative is cero, and then finding the sign of it in the different intervals, etc. This for particular examples.
>
>
>
> But, is there a way to use the second derivative as part of a ColorFunction, or something like that?
>
>
>
> Thanks
>
>



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