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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?