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F(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e

  1. Feb 3, 2009 #1
    1. The problem statement, all variables and given/known data
    f(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e


    2. Relevant equations
    dy/dx = f'g(x) x g'(x)


    3. The attempt at a solution
    i cant figure it out!
     
  2. jcsd
  3. Feb 3, 2009 #2

    Dick

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    Try it! What's f'(x)? g'(x)? f'(g(x))?
     
  4. Feb 3, 2009 #3
    remember your chain rule:
    [tex][f(g(x))]'=f'(g(x))\cdot g'(x)[/tex]
    take each derivative separately and put it all together if it seems too complicated, that helps me a lot
     
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