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Homework Help: 100th derivative

  1. Oct 28, 2007 #1
    MATH-1.jpg

    how would be the best way to do this?

    I mean, I know how to find the derivative...

    and it kind of makes a pattern...but I can't quite correlate that pattern to the 100th derivative
     
  2. jcsd
  3. Oct 28, 2007 #2

    rock.freak667

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    Homework Helper

    Find f'(x).then f''(x) and then f'''(x) and see if you find a pattern happening so that you can find the nth derivative of f(x)
     
  4. Oct 28, 2007 #3
    dammit

    ha k thanks
     
  5. Oct 28, 2007 #4
    [tex]y^{(n)}(x) = \sum_{k=0}^n {n \choose k} u^{(n-k)}(x)\; v^{(k)}(x)[/tex]

    This is known as the Leibniz rule (where y(x)=u(x)v(x)).
     
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