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MathGroup Archive 2007

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Re: Can Maximize return a function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74905] Re: Can Maximize return a function
  • From: dh <dh at metrohm.ch>
  • Date: Tue, 10 Apr 2007 06:03:34 -0400 (EDT)
  • References: <evd3qo$5h2$1@smc.vnet.net>


Hi,

No Maximize can not work symbolically. However, you may e.g. use Reduce 

or Solve to serach for singular points where the derivative is zero. E.g.:

Reduce[{D[a*x-x^2,x]==0},x]

Daniel



mfmad wrote:

> e.g.

> 

> When I run:

> 

> Clear["*"]

> SetAttributes[a, Constant]

> (*this works if use a num instead of a*)

> (*e.g. f[x_] := 4*x - x^2 *)

> f[x_] := a*x - x^2

> Maximize[f[x], a > 0, x]

> 

> I get:

> 

> Maximize[{-x^2+xy, y>0},x]

> 

> when I really want something like:

> 

> {a, {x->a/2}}

> 

> Can this be done?

> 

> 




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