Derivative Problem: Step-by-Step Solution

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Homework Help Overview

The discussion revolves around a problem related to derivatives, specifically the calculation of dy/dx and the potential involvement of dy/dt. Participants are attempting to clarify their understanding of the differentiation process and the appropriate variables to use.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants describe their attempts to differentiate a function, noting the result of dy/dx = 2 - 1/x. There is uncertainty about whether dy/dt should be used and questions about the correctness of their steps. Some participants seek clarification on the original problem and the differentiation process.

Discussion Status

The discussion is ongoing, with participants expressing confusion and seeking further information about the problem setup and differentiation. There is no clear consensus, but there are indications of productive questioning regarding the differentiation with respect to the correct variable.

Contextual Notes

Some participants mention the possibility of variables of t remaining in the equation, suggesting that the problem may involve multiple variables or require specific attention to the context of differentiation.

brambleberry
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The Attempt at a Solution



I took the derivative first and got dy/dx = 2 - 1/x. I then substituted and got the answer 1. I'm confused if I was supposed to use dy/dt at all during this problem, and I don't know if I took the right steps.
 
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brambleberry said:

The Attempt at a Solution



I took the derivative first and got dy/dx = 2 - 1/x. I then substituted and got the answer 1. I'm confused if I was supposed to use dy/dt at all during this problem, and I don't know if I took the right steps.


So, what's your question?
 
brambleberry said:

The Attempt at a Solution



I took the derivative first and got dy/dx = 2 - 1/x. I then substituted and got the answer 1. I'm confused if I was supposed to use dy/dt at all during this problem, and I don't know if I took the right steps.
Please tell us what the problem is! What did you differentiate to get dy/dx? This makes no sense at all.
 
brambleberry said:

The Attempt at a Solution



I took the derivative first and got dy/dx = 2 - 1/x. I then substituted and got the answer 1. I'm confused if I was supposed to use dy/dt at all during this problem, and I don't know if I took the right steps.

i suppose this should be differentiate with respect to x if not there would still be variables of t in your equation of first derivative.
 

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