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? > > >