DSolving(?) for a given tangent

*To*: mathgroup at smc.vnet.net*Subject*: [mg81358] DSolving(?) for a given tangent*From*: "AngleWyrm" <anglewyrm at yahoo.com>*Date*: Thu, 20 Sep 2007 03:53:19 -0400 (EDT)

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?