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MathGroup Archive 2007

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Re: DSolving(?) for a given tangent

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81368] Re: DSolving(?) for a given tangent
  • From: dh <dh at metrohm.ch>
  • Date: Fri, 21 Sep 2007 03:01:52 -0400 (EDT)
  • References: <fct9c4$r6e$1@smc.vnet.net>


Hi Angle,

45 degree depends on your graphics scaling. Therefore, I assume you mean 

a point where the derivative equals 1. This is easily solved by:

fun[x_]:=Exp[0.22 x]

Solve[D[fun[x],x]==1,x]

hope this helps, Daniel



ngleWyrm wrote:

> Don't know for sure if this is the right function, so here's the scenario:

> 

> f[x_] := E^(0.22 x);

> Plot[f[x], {x, 6, 36}]

> 

> Which plots a nice escalating curve.

> 

> What I would like to know is: Where is the point {x,f[x]} that has a 

> 45-degree tangent line; ie where is this curve's balance point before it 

> really starts taking off?

> 

> 

> 




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