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Re: DSolving(?) for a given tangent

• To: mathgroup at smc.vnet.net
• Subject: [mg81379] Re: DSolving(?) for a given tangent
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Fri, 21 Sep 2007 03:07:43 -0400 (EDT)
• References: <fct9c4$r6e$1@smc.vnet.net>

Szabolcs Horvát wrote:
 > AngleWyrm wrote:
 >> 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;
 >
 > f[x_] := Exp[a x]
 >
 > Solve[f'[x] == 1/2, x]

This should be Solve[f'[x] == 1, x], of course!!!!