Implicit Differentiation: two different answers

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Homework Help Overview

The discussion revolves around implicit differentiation, specifically addressing a problem where two different answers are obtained from the same equation. Participants express confusion regarding the discrepancy in their results.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants attempt to understand why their implicit differentiation leads to different answers, with one member seeking clarification on a second answer. Others suggest using the original equation directly and propose taking the natural logarithm of both sides as a potential approach.

Discussion Status

The discussion is ongoing, with participants exploring different methods of implicit differentiation. Some guidance has been offered regarding the use of logarithms, but no consensus has been reached on the correct approach or answer.

Contextual Notes

Participants have expressed a sense of urgency and confusion, indicating that they are working under homework constraints and are seeking clarity on the problem setup and the implications of their differentiation attempts.

funlord
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Homework Statement



upload_2015-8-12_21-14-47.png

with answers given:

upload_2015-8-12_21-15-58.png

Homework Equations


use implicit differentiation

The Attempt at a Solution


I always get this answer

upload_2015-8-12_21-17-54.png

but not the second one

PLs explain the second answer for I am very desperate.
Thank You
 

Attachments

  • upload_2015-8-12_21-17-59.png
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Use what you begin with i.e. ##(x-y)^3 = (x+y)^2## inside the expression you get from implicit differentiation

Show your steps
 
funlord said:

Homework Statement



View attachment 87235
with answers given:

View attachment 87236

Homework Equations


use implicit differentiation

The Attempt at a Solution


I always get this answer

View attachment 87237
but not the second one

PLs explain the second answer for I am very desperate.
Thank You
Please state the entire problem.
 
funlord said:

Homework Statement



View attachment 87235
with answers given:

View attachment 87236

Homework Equations


use implicit differentiation

The Attempt at a Solution


I always get this answer

View attachment 87237
but not the second one

PLs explain the second answer for I am very desperate.
Thank You

In order to get the second answer, you need to take the ln of both sides of the equation, then differentiate implicitly. After rearranging, if done right (presumably the second answer is correct), you should have the same answer.
 

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