How Do First and Second Derivatives Impact Problem Solving?

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Discussion Overview

The discussion revolves around the impact of first and second derivatives on problem-solving, particularly in the context of determining derivatives of a function defined in terms of other functions. The scope includes mathematical reasoning and potential applications in calculus.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant proposes starting by determining $h'(x)$ and $h''(x)$ in terms of $f(x)$, $g(x)$, and their respective first and second derivatives.
  • Another participant echoes this approach, seeking confirmation on its correctness.
  • A later reply expresses agreement with the reasoning presented, indicating it appears sound.
  • There is a mention of merging threads related to the same problem, along with an observation about the chronological order of posts.

Areas of Agreement / Disagreement

While there is some agreement on the proposed approach to determining the derivatives, the overall correctness of the method remains uncertain as participants seek confirmation and clarification.

Contextual Notes

The discussion does not clarify specific assumptions or definitions that may impact the interpretation of the derivatives involved.

jaredjjj
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How would someone answer derivative question
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Have I answered this question correctly.
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I'd start by determining $h'(x)$ and $h''(x)$ in terms of $f(x)$, $g(x)$, and their respective 1st and 2nd derivatives.
 
Your reasoning looks sound to me. (Yes)
 
skeeter said:
I'd start by determining $h'(x)$ and $h''(x)$ in terms of $f(x)$, $g(x)$, and their respective 1st and 2nd derivatives.
is this correct?
91987401_605497343717583_4253347632677650432_n.jpg
 
ok
 
I merged the two threads on the same problem, and I have no iea why the posts weren't sorted correctly in chronological order.
 

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