1. Sep 26, 2005 #1

   NINHARDCOREFAN

   

   The equation is y=e^(-t)-e^(2t)
   
   It says: Determine maximum value of this solution for t>0 and the value of t where this maximum occurs.
   
   Doesn't the maximum occur at 0? So what is the question asking?

    

   NINHARDCOREFAN, Sep 26, 2005
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3. Sep 26, 2005 #2

   Tom Mattson

   

   Staff Emeritus

   Science Advisor

   Gold Member

   Yes.
   
   

   If I were asking the question, I would expect my students to show that zero is a critical number of f(x), and then to use either the first or second derivative test to demonstrate that there is indeed a maximum at that point.

    

   Tom Mattson, Sep 26, 2005

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