Find the points at which the graph has vertical and horizontal tangents

calculusisfun
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PRObLEM SOLVED> :)
 
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You're values for x, and y for which the graph of the equation obtains a horizontal or vertical asymptote seem to be correct. But be careful, the question asks for points, not values!
 
Problem solved :)
 
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What about x=\pm 3?
 
Thanks Metanllic, I just figured it out now. Thanks guys! :)
 

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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