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Homework Help: Derivative x+sqrt(x)

  1. Oct 4, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the derivative of the function using the definition of derivative. state the domain of the function and the derivative.

    f(x)= x +sqrt(x)

    3. The attempt at a solution

    lim f(x)= [x+h+sqrt(x+h) -x -sqrt(x)]/h

    limf(x)=[h + sqrt(x+h) - sqrt(x)]/h

    not sure how to proceed?
  2. jcsd
  3. Oct 4, 2009 #2


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    Science Advisor
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    Gold Member

    Separate out the h/h term and rationalize the numerator in what is left.
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