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Re: DSolving(?) for a given tangent


Sir, for some reason this does not work on my XP machine 
using V6. I get the correct answer if I use

In[3]:= {x, f[x]} /. First[Quiet[Solve[D[f[x], x] == 1.0, x]]]

This gives {6.8824, 4.54545} for output.

I'm guessing your "Degree" is different from mine which is 
0.0174533.

Regards, Jerry

Adriano Pascoletti wrote:
> On Sep 20, 10:01 am, "AngleWyrm" <anglew... 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?
> 
> In[2]:= f[x_] := E^(0.22*x);
> In[3]:= {x, f[x]} /. First[Quiet[Solve[D[f[x], x] == 45*Degree, x]]]
> 
> Out[3]= {6.882398784680798, 4.545454545454546}
> 
> Quiet suppresses the warning message:
> Solve::ifun:Inverse functions are being \
> used by Solve, so some solutions may not be found; use Reduce for \
> complete solution information. >>
> 
> This verifies the result
> In[4]:=  D[f[x], x]/Degree /.  First[Quiet[Solve[D[f[x], x] ==
> 45*Degree, x]]]
> 
> Out[4]= 45.
> 
> Adriano Pascoletti
> 
> 


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