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Derivative of exponential function

  1. Oct 7, 2016 #1
    Mod note: Changed title from "Differential Euler's Number"
    1. The problem statement, all variables and given/known data

    Find the derivative.
    f(t)=etsin2t

    3. The attempt at a solution

    f'(t)=etsin2t(sin2t)(cos2t)(2)

    However the book seems to say that there should be an extra "t" in the solution. Some help?
     
    Last edited by a moderator: Oct 7, 2016
  2. jcsd
  3. Oct 7, 2016 #2

    Mark44

    Staff: Mentor

    This is incorrect. It should be ##f'(t) = e^{t\sin(2t)} \cdot \frac d{dt}(t \sin(2t))##
    To get that last derivative you need to use the product rule and the chain rule, in that order.
     
  4. Oct 7, 2016 #3
    Thank you!

    I appreciate all of your help the past couple of days, for some reason I've been making a lot of mistakes but after a heavy study session today I'm feeling much more capable.

    Thanks again!
     
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