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d/dx [ (1/y) dy/dx) ] = ?
Please let me know !
Please let me know !
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.
Participants do not reach a consensus on the best method to differentiate the expression, with multiple approaches and suggestions presented without resolution.
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.
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.
Thanks DyslexicHobo. That link is what I needed!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+]