Natural log of a sum? (not sum of natural logs)

[yiyopr]

Homework Statement

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

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??

 

[gabbagabbahey]

Homework Statement

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

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??

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.