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MathGroup Archive 2006

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Re: Making plots using transformation rules

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71938] Re: [mg71928] Making plots using transformation rules
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 5 Dec 2006 06:04:37 -0500 (EST)
  • Reply-to: hanlonr at cox.net

Clear[g];

g[t_] = D[t^2,t];

g[1]

2

Plot[g[t],{t,0,1}];

Or

Clear[g];

g[t_]:=Evaluate[D[t^2,t]];

g[1]

2


Bob Hanlon

---- amannuc at yahoo.com wrote: 
> I've read about making plots of functions, for example:
> 
> Plot[Evaluate[f[x]], {x, 0, 10}]
> 
> I don't have this sort of function to plot. Because it involves
> derivatives, I only get numerical output after defining a
> transformation rule. A simple example (not the real one) is the
> following:
> 
> g[t_] := D[t^2, t]
> g[t] /. t -> 1
> 
> I cannot evaluate g[1], because then Mathematica thinks I am trying to
> take a derivative with respect to the number 1, and flags that as
> error. So I need the transformation rule to get function values.
> 
> What is the best way to plot g[t]? I am looking to create multiple
> transformation rules that replace the argument t with a reasonable
> range of values. Then I can plot g[t] versus t. Plot will not do this
> directly because it takes variable values as input. However, as I've
> said, the construction g[x] (x = some number) flags an error.
> 
> Thanks for your help.
> 


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