How Do You Solve This Directional Derivative Problem?

sarahisme
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Hello,

I am confused in as how to do this question :S... any help, pointers etc. would be great.

http://img87.imageshack.us/img87/637/picture4nd7.png

Thanks

sarah :)
 
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Please show how you started and where you got stuck. Thanks.
 
will post it later, though i may be on the verge of a breakthrough! :D
 
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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