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Determine maximum value of this solution for t>0

  • #1
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?
 

Answers and Replies

  • #2
Tom Mattson
Staff Emeritus
Science Advisor
Gold Member
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NINHARDCOREFAN said:
Doesn't the maximum occur at 0?
Yes.

So what is the question asking?
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.
 

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