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X^4 - x^3

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

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

    Mark44

    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) =

    e^2x
    x^4

    So I applied the Quotient Rule and have it simplified to

    2x^4(e^2x)-4x^3(e^2x)
    x^8

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


    The answer is
    2e^2x(x-2)
    x^5

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

    Hepth

    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

    Mark44

    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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