Re: DSolving(?) for a given tangent

*To*: mathgroup at smc.vnet.net*Subject*: [mg81388] Re: [mg81358] DSolving(?) for a given tangent*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Fri, 21 Sep 2007 03:12:26 -0400 (EDT)*Reply-to*: hanlonr at cox.net

f[x_] := E^(0.22 x) Off[Solve::ifun]; pt = {x, f[x]} /. Solve[f'[x] == 1, x] {{6.882398784680798, 4.545454545454546}} Plot[f[x], {x, 4, 10}, Epilog -> {Red, AbsolutePointSize[3], Point[pt]}, AspectRatio -> Automatic] Bob Hanlon ---- AngleWyrm <anglewyrm at yahoo.com> 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? > > >