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Differentiate f(x)=arctan(e^5x)

  1. Feb 26, 2009 #1
    How do you differentiate f(x)=arctan(e^5x)
     
  2. jcsd
  3. Feb 26, 2009 #2
    If it's w.r.t . x then use the chain rule e.g. u= e^(5x)
     
  4. Feb 26, 2009 #3
    I did something like,

    1/1+(e^5x)^2

    and then

    5e^-5x/1+(e^10x)

    I don't think that is right though, I'm pretty confused
     
    Last edited: Feb 26, 2009
  5. Feb 26, 2009 #4

    HallsofIvy

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    How did you get e-5x in the numerator? The derivative of e5x is 5e5x. That is what you should be multiplying by.
     
  6. Feb 26, 2009 #5
    I thought since e^5x is in the denominator that it is equal to e^-5x
     
  7. Feb 26, 2009 #6
    Last edited by a moderator: Apr 24, 2017
  8. Feb 26, 2009 #7
    ok thanks guys
     
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