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Need help quik with this differentiation

  1. Dec 5, 2013 #1
    1. The problem statement, all variables and given/known data

    attachment.php?attachmentid=64516&stc=1&d=1386241299.png

    2. Relevant equations
    [itex]\frac{d}{dx}[/itex]

    attachment.php?attachmentid=64517&stc=1&d=1386241299.png

    attachment.php?attachmentid=64518&stc=1&d=1386241299.png
    3. The attempt at a solution

    i couldnt do it cuz we didnt learn this type of question
     

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  2. jcsd
  3. Dec 5, 2013 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    hi houssamxd! :smile:

    (is the question to find dy/dx? :confused:)

    why can't you just use the first of your "relevant equations"?
     
  4. Dec 5, 2013 #3

    Mark44

    Staff: Mentor

    $$\text{Let}~ G(x) = \int_0^x (t^3 + 1)^{10}dt$$

    Then y = [G(x)]3

    How would you find dy/dx?
     
  5. Dec 5, 2013 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    So your question is to find the derivative [itex]d u^3/dx[/itex] where [itex]u= \int_a^x f(t)dt[/itex]?

    Surely, you have learned the chain rule:
    [tex]\frac{dy}{dx}= \frac{dy}{du}\frac{du}{dx}[/tex]

    And to find du/dx, you need the "Fundamental Theorem of Calculus" which you give as a "relevant equation".
     
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