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Calculus derivation with radicals

  1. Aug 19, 2007 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    Basic rules- Power, product, and quotient

    3. The attempt at a solution

    The first step would be to rewrite the equation:

    f(x)= x^2/3 + 1/ x^1/2

    I'm lost here. I dont know what to do when the variable is in the denominator like that.

    Any help would be greatly appreciated.
  2. jcsd
  3. Aug 19, 2007 #2


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    Homework Helper

    You can bring the denominator up, and 1/x^(1/2) becomes x^(-1/2)... or you can use the quotient rule for derivatives.
  4. Aug 19, 2007 #3
    rememeber [tex]x^{\frac{-1}{2}}=\frac{1}{x^{\frac{1}{2}}}[/tex]
    also recalll the formula for derivative of [tex]x^{n}[/tex]
  5. Aug 20, 2007 #4

    Gib Z

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    Homework Helper

    Or as you suggested, for your problem with the second part, just use the quotient rule!
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