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Math Help - mathematical induction help

  1. #1
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    mathematical induction help

    I need to show by induction that the nth derivative f(n)(x) of
    f(x)=sqrt(1-x) is...

    f(n)(x)= -((2n)! / 4n(n!)*(2n-1))*(1-x)1/2-n

    Im not to sure where or how to start off this problem
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Chris L T521 View Post
    Please don't double post. It wastes our time.

    --Chris
    is this a double post? i know it was asked (and has been answered) by a different user here
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by g.rutherford View Post
    I need to show by induction that the nth derivative f(n)(x) of
    f(x)=sqrt(1-x) is....
    f(n)(x)=-((2n!) / 4n(n!)*(2n-1))*(1-x)1/2-n

    Im not to sure where or how to start off this problem
    This has been answered here.

    --Chris
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by g.rutherford View Post
    I need to show by induction that the nth derivative f(n)(x) of
    f(x)=sqrt(1-x) is....
    f(n)(x)=-((2n!) / 4n(n!)*(2n-1))*(1-x)1/2-n

    Im not to sure where or how to start off this problem
    see here

    EDIT: geez, you beat me to it again!
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  5. #5
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Jhevon View Post
    EDIT: geez, you beat me to it again!
    Now that the Olympics are over and winter is a couple months away, it seems that I'm starting to get quicker than you!

    --Chris
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