Local Maximum/Minimum summary help

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Homework Statement


http://img682.imageshack.us/img682/1220/86316124.jpg


Homework Equations





The Attempt at a Solution


why am i getting this wrong? i am pretty sure about everything and nothing else seems to fit in there..
maybe the last one? but it says decreasing so it must be local min
 
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Re-examine the last question and the criteria for maximum and minimum values. Since g'(x) is decreasing, that means that g''(x) < 0 which tells you?
 
oh it has a local max.. i didnt see that in the textbook :x tnx buddy
 

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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