Partial differentiation question?

cowboi12345
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The coefficient of rigidity n of a wire of length L and uniform diameter is given by:
n = AL/d^4

where A is a constant...If errors of +- 0.25% and +-1% are possible in measuring L and d respectively, find the maximum possible error in the calculated value of n...

how do i do this.?

I've partially differentiated it with respect to L and d...and that's about it..
 
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ok...nvm...i got it...its +-4.25%...i forgot to include the units of 0.25L and 1d...lol...
 
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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