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Derivative of Y=sqrtX

  1. Oct 6, 2007 #1
    I was asked to find the derivative of y=sqrtx at x=1

    I need to use the formula

    lim x -> a = f(x) - f(a) / (x-a) to find the derivative at x=1

    I have..

    sqrtx - 1 / (x - 1) BUT i can't simply it from there. Help!

    THANKSZ.
     
  2. jcsd
  3. Oct 6, 2007 #2

    arildno

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    Okay:
    [tex]\frac{\sqrt{x}-1}{x-1}=\frac{\sqrt{x}+1}{\sqrt{x}+1}\frac{\sqrt{x}-1}{x-1}=\frac{(\sqrt{x}+1)(\sqrt{x}-1)}{x-1}\frac{1}{\sqrt{x}+1}[/tex]
    Does that help you a bit?
     
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