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Math Help - [SOLVED] derivative

  1. #1
    Member Awsom Guy's Avatar
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    [SOLVED] derivative

    how do I derivative this: sqrt x

    Well this is my attempt.
    =x^1/2
    =1/2 x^-1/2
    =1/(1/2sqrtx).
    I am stuck there.
    Also is that right, please check.
    Thanks
    Last edited by Awsom Guy; October 21st 2009 at 01:36 AM. Reason: my coding was wrong..
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello Awsom Guy
    Quote Originally Posted by Awsom Guy View Post
    how do I derivative this: sqrt x

    Well this is my attempt.
    =x^1/2
    =1/2 x^-1/2
    =1/(1/2sqrtx).
    I am stuck there.
    Also is that right, please check.
    Thanks
    You're almost right, but you got the 2 in the wrong place on the last line:

     f(x) =x^{\frac12}

    \Rightarrow f'(x) =\tfrac12 (x^{-\tfrac12})

     =\frac{1}{2\sqrt{x}}

    Grandad

    PS Take the trouble to learn LaTeX - it makes your working much more readable. If you want to see the LaTeX code on any of the lines above, just click the mouse on it.
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  3. #3
    Member Awsom Guy's Avatar
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    Quote Originally Posted by Grandad View Post
    Hello Awsom GuyYou're almost right, but you got the 2 in the wrong place on the last line:

     f(x) =x^{\frac12}

    \Rightarrow f'(x) =\tfrac12 (x^{-\tfrac12})

     =\frac{1}{2\sqrt{x}}

    Grandad

    PS Take the trouble to learn LaTeX - it makes your working much more readable. If you want to see the LaTeX code on any of the lines above, just click the mouse on it.
    Thanks heaps.
    =\frac{1}{2\
    just practicing lol.
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