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?

>

>

>

```

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