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Homework Help: Natural log of a sum? (not sum of natural logs)

  1. Oct 25, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the derivative of y = x^2 + x^(2x)

    3. The attempt at a solution

    By looking at the equation I think I need to use implicit differentiation + natural logs. But I can't do anything with:

    lny = ln(x^2 + x^(2x))

    So I assume I'm wrong.. Any help??
  2. jcsd
  3. Oct 25, 2012 #2


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    Homework Helper
    Gold Member

    Use the linearity of the derivative operator: [itex]\frac{dy}{dx} = \frac{d}{dx}\left(x^2+x^{2x} \right) = \frac{d}{dx}\left(x^2 \right) + \frac{d}{dx}\left(x^{2x} \right)[/itex]. Compute each derivative separately and then add the results.
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