Find the Derivative - Basic Calculus

bobraymund
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Homework Statement



Find the first and second derivatives of the function.

Homework Equations



calc0.gif

The Attempt at a Solution



This was an even problem, so I have done the work but not completely sure that my answers I got are correct. Here's what I got:

calc2.gif


calc3.gif


Much appreciated,
Bob
 
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It looks fine to me. :cool:
 
Bob, I got the same result as you did.
 
blake knight said:
Bob, I got the same result as you did.


Cool, thanks guys.

-Bob
 

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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