Finding Potential Function for Vector Field F

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Homework Statement



Consider the vector field F= 2xi - 4yj + (2z - 3)k.

Find the potential function for F.

Homework Equations





The Attempt at a Solution

 
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what is the definition of potential function?? or in a more matematicl sense what is an exact differential?

use the knowledge you have on integral and derivatives ;)

Marco
 
I think it's just the integral of the vector field..
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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