1. Apr 18, 2009 #1

   marcuss

   

   1. The problem statement, all variables and given/known data
   
   the function f(x)=tan(3^x) has one zero in the interval [0,1.4]. The derivative at this point is
   
   
   3. The attempt at a solution
   
   f'(x)= sec^2(3^x)*x3^(x-1) and i really cant seem to get a zero from that because i really dont know where to start and if im misinterpreting the problem please tell me that. Thanks

    

   marcuss, Apr 18, 2009
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3. Apr 18, 2009 #2

   whybother

   

   Wait, what is the initial question?
   Are you trying to find roots of:
   
   [tex]y=\tan{(3^x})[/tex]
   http://img7.imageshack.us/img7/7748/tan3x.jpg [Broken]

    

   Last edited by a moderator: May 4, 2017

   whybother, Apr 18, 2009
4. Apr 18, 2009 #3

   whybother

   

   If that's the case, your derivative is incorrect.
   
   [tex]f'(x) = 3^x \log(3) \sec^2({3^x})[/tex]

    

   whybother, Apr 18, 2009

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