What is the Derivative of f(x) = √(x+1)/(x+2) at x = 1?

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Homework Statement
I solved it, can someone confirm?
Relevant Equations
n/a
f1.jpeg
 
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You have it right. But you misstated the problem in your post.
You are looking for f'(1).
 
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.Scott said:
But you misstated the problem in your post.
Thread title fixed.
 
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Thread 'Finding the nth roots of a complex number'

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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