Rusty of Calculus: Please check this derivative for me

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    Calculus Derivative
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Discussion Overview

The discussion revolves around finding the derivative of the expression (1/y) dy/dx with respect to x. Participants explore different methods of differentiation, including implicit differentiation and the product rule, while also referencing external resources for assistance.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant asks for the derivative of (1/y) dy/dx, seeking clarification on the process.
  • Another participant suggests using implicit differentiation to find the derivative of 1/y with respect to x.
  • A different participant proposes applying the product rule to differentiate the expression, presenting a formula involving the second derivative of y.
  • Some participants mention using external resources like Wolfram Alpha for solving calculus problems, emphasizing its ease of use and step-by-step guidance.
  • There is an assumption that y is a function of x, which is noted as potentially affecting the correctness of the solution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to differentiate the expression, with multiple approaches and suggestions presented without resolution.

Contextual Notes

There are limitations regarding assumptions about y being a function of x, and the discussion does not resolve the correctness of the proposed methods or solutions.

edgepflow
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d/dx [ (1/y) dy/dx) ] = ?

Please let me know !
 
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Are you just asking what the derivative of 1/y is with respect to x? If that's the case you should give it a try first using implicit differentiation.
 
armolinasf said:
Are you just asking what the derivative of 1/y is with respect to x? If that's the case you should give it a try first using implicit differentiation.

Could I do the Product Rule:

d/dx [ (1/y) dy/dx) ] = (1/y) d^2 y / dx^2 - (1/y^2) dy/dx ?
 
I haven't taken calculus in quite some time, but this is the resource I use for all of the calculus that I've forgotten:

www.wolframalpha.com

It's EXTREMELY easy to use. So easy that all I needed to do was copy and paste straight from your post. The great thing is that for most problems, you can even click "Show Steps" next to the answer and it'll walk you through the problem. For this problem, you would use the quotient rule. (I'm assuming Y is a function of X... if it's not, then I don't think this solution is correct).

Here is the solution and steps: http://www.wolframalpha.com/input/?i=d/dx+[+%281%2Fy%29+*+%28dy%2Fdx%29+]
 
DyslexicHobo said:
I haven't taken calculus in quite some time, but this is the resource I use for all of the calculus that I've forgotten:

www.wolframalpha.com

It's EXTREMELY easy to use. So easy that all I needed to do was copy and paste straight from your post. The great thing is that for most problems, you can even click "Show Steps" next to the answer and it'll walk you through the problem. For this problem, you would use the quotient rule. (I'm assuming Y is a function of X... if it's not, then I don't think this solution is correct).

Here is the solution and steps: http://www.wolframalpha.com/input/?i=d/dx+[+%281%2Fy%29+*+%28dy%2Fdx%29+]
Thanks DyslexicHobo. That link is what I needed!
 

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