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Show that ln(x^2+y^2) is a potential function for the following vector field

[itex] \displaystyle \frac{2x \vec i}{(x^2+y^2)^{1/2}} +\frac{2y \vec j}{(x^2+y^2)^{1/2}}[/itex]

I calculate [itex]\nabla \phi [/itex] as

[itex] \displaystyle \frac{2y^2}{(x^2+y^2)^{3/2}} \vec i +\frac{2x^2}{(x^2+y^2)^{3/2}} \vec j[/itex]

I dont know how this connects to the log function...?

Thanks

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# Homework Help: Potential Function

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