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Homework Help: X^4 - x^3

  1. Oct 19, 2009 #1
    How is this done?

    x^4 - x^3
  2. jcsd
  3. Oct 19, 2009 #2


    Staff: Mentor

    What do you need to do?

    You deleted the three sections, the first of which shows the complete problem and variables and data.
  4. Oct 19, 2009 #3
    The original problem is to differentiate the following:

    F(x) =


    So I applied the Quotient Rule and have it simplified to


    I see that the e^2x's cancel and I dont understand how to simplify the rest.

    The answer is

    I just cant put the pieces together, thanks!
  5. Oct 19, 2009 #4


    User Avatar
    Gold Member

    Youre almost there. Just pull out some x's and the exponential, like, x^3 e^2x (2 x^1 - 4)/x^8.
    Then cancel out those x^3 with those on the bottom, and pull out another two and you have the answer.
  6. Oct 19, 2009 #5


    Staff: Mentor

    This (above) is correct.
    No, the e^(2x)'s don't cancel out. You can factor them out of each term, though.
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