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Homework Help: Derivative of e^(t^2)

  1. Sep 18, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the derivative of e^(t^2) with respect to the variable t.

    2. Relevant equations
    Chain Rule

    3. The attempt at a solution
    Using chain rule, the answer should be e^(t^2)*2t, but when I used Maple to confirm my answer, the solution is 2*e^(t^2)*t*ln(e).
    My train of thought starts by thinking of the exponential as e^x (where x = t^2), then I apply the chain rule on the exponents of e, so I get 2t; thus, giving me the solution e^(t^2)*2t.

    Thanks in advance.
  2. jcsd
  3. Sep 18, 2010 #2
    It is the same thing since ln(e)=1.

    Maple gave that answer because the derievative of [tex]a^{x}[/tex] is [tex]a^{x}lna[/tex].
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