Hello everyone!

I have the following system of n equations

x_j= a_j * Sum_{j=1}^n (x_i)^b

where 0<b<1 is known. Given a set of a_j, I can solve for the vector x by 
iterating on the equation. But I would like to know the gradient of the 
each x_j with respect to a_j. I am wondering if I could use ForwardDiff.jl 
or another Julia package in some way to do this. Any help would be 
appreciated.

Many thanks!

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