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Given f(x)=(x^2+3*x+1)^5 / (x+3)^5 , identify a function u of x and an integer n not equal to 1 such that f(x)=u^n. Then compute f'(x).

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Conditions are found that allow a derivative to be solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.