Derivative Troubles: A Scientist's Dilemma?

  • Thread starter Thread starter Garlic
  • Start date Start date
  • Tags Tags
    Derivative
Garlic
Gold Member
Messages
181
Reaction score
72
Hello PF,

1. Homework Statement


I've been having problems with the deriative of a function, although I thought I've done everything right, my solution doesn't match with the right solution. I have no clue what (or if) I've done anything wrong, or simply don't know the tricks I was supposed to use.

Homework Equations

+ 3. The Attempt at a Solution [/B]

IMAG1382_1.jpg
 
Physics news on Phys.org
Okay, so it appears, that I haven't correctly derived the function at the beginning, so the problem begins with the first row.
 
Foil everything... Than you're just going to be using the chain rule
 
  • Like
Likes Garlic
Take the derivative with respect to t
 
Thank you! :smile:
 
  • Like
Likes sunnnystrong
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...
Back
Top