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Options to know shape of functions

• To: mathgroup at smc.vnet.net
• Subject: [mg127371] Options to know shape of functions
• From: Prashant <prashant.ch at gmail.com>
• Date: Fri, 20 Jul 2012 03:52:53 -0400 (EDT)
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• Delivered-to: mathgroup-newout@smc.vnet.net
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Hello All,

Are there inbuilt functions in Mathematica that help us know the shape of a univariable function (i.e. Concave, convex, quasiconcave,quasiconvex)? Usually, when cannot be proved analytically, we use numerical experiments to see for these shapes of functions. We can write a user defined code to do these, but does Mathematica provide such inbuilt predicate function?

Thanks,
P