Differentiating t/(1+t^2)^(1/2)

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Homework Help Overview

The discussion revolves around differentiating the function t/(1+t^2)^(1/2). Participants are attempting to understand the differentiation process and the application of the product rule in this context.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the product rule but struggles with simplification, leading to confusion about the resulting expression. Another participant expresses a differing opinion on the answer, suggesting it might be zero.

Discussion Status

The discussion includes attempts to clarify the differentiation process, with one participant indicating they resolved their confusion. However, there remains a divergence in opinions regarding the correct answer, indicating ongoing exploration of the problem.

Contextual Notes

The original poster mentions that this differentiation is part of a principal unit vector problem, which may impose specific constraints or considerations relevant to the discussion.

P.O.L.A.R
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d/dx[t/(1+t^2)^(1/2)]

The answer say 1/(1+t^2)^(3/2)

I can tget that for the life of me. Used product rule and I can't seem to simplify it I come up with

2/(1+t^2)^(3/2) Where does the 2 go? This is for a principal unit vector problem so a quick solution is all i need. thanks
 
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nevermind i got it forgot about the 2 on the bottom doh.
 
I'd say the answer was 0, but that's just my opinion..
 
arildno said:
I'd say the answer was 0, but that's just my opinion..

lol...
 

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