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Re: Color according to concavity


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:
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>
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> 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.
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> 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.
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> But, is there a way to use the second derivative as part of a ColorFunction, or something like that?
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> Thanks
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>



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