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Simple derivative of exponential function

  1. Nov 29, 2016 #1
    1. The problem statement, all variables and given/known data
    Find derivative of
    y=e^(cos(t)+lnt)
    2. Relevant equations


    3. The attempt at a solution
    So just using the chain rule:
    y'=e^(cos(t)+lnt)*(-sin(t)+1/t)
    The answer in the back of the book is
    y'=e^(cos(t))*(1-tsin(t))
     
    Last edited by a moderator: Nov 29, 2016
  2. jcsd
  3. Nov 29, 2016 #2
    Just trying to figure out where I went wrong or if these are just two forms of the same answer?
     
  4. Nov 29, 2016 #3

    fresh_42

    Staff: Mentor

    The answers are identical. What is ##a^{b+c}## and what ##e^{\ln t}##?
     
  5. Nov 29, 2016 #4
    Thank you
     
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