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

1. Oct 25, 2012

### yiyopr

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. Oct 25, 2012

### gabbagabbahey

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

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