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I have been trying to do this problem in both ways but I cant get the same answer the book says. This is the problem:

x/ sqrt (x^2 +1)

With quotient rule I got until the point I have [(x^2 +1)^1/2 - x^2/(x^2 +1)^1/2]/(x^2 +1)

And with power rule I have [1/sqrt(x^2 +1)] - [x^2/(x^2 +1)^3/2]

If you guys can walk me through the problem, it would be nice. Thanks