I want check my answer in derivatives (part 2)

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For 1, you multiplied correctly, but should simplify by combining the two x3 terms. When you differentiated, you have an error in the last term.
When you used the product rule, you differentiated incorrectly when you found u'. If u = 3 - x2, u' = -2x, not -2x-3 as you have. This is basically the same mistake that you made in the first part of this problem.

In 2, you only did this problem in one way - you didn't use the product rule. When you multiplied (x + 1/x) and (x - 1/x + 1) you have several mistakes. You ended up with two terms but there should be four.
 
r-soy, have you figured these out? Many times you ask a question about your work, get a reply, and then don't say anything more until you have a new question.
 
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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