Differentiation - cant remember

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SUMMARY

The discussion centers on a calculus problem involving differentiation, specifically the application of the chain rule. The user, utilizing a TI-89 calculator, identified a missing factor of 2x in their differentiation process. The solution provided confirms that the omission was due to a failure to apply the chain rule correctly. Once this was addressed, the user expressed confidence in completing the double differential required for the homework assignment.

PREREQUISITES
  • Understanding of calculus concepts, particularly differentiation
  • Familiarity with the chain rule in calculus
  • Experience using a TI-89 calculator for mathematical computations
  • Knowledge of double differentiation techniques
NEXT STEPS
  • Review the chain rule in calculus for better application in differentiation problems
  • Practice double differentiation with various functions
  • Explore advanced features of the TI-89 calculator for calculus
  • Study common mistakes in differentiation to avoid similar errors
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Students studying calculus, particularly those struggling with differentiation and the application of the chain rule, as well as educators looking for examples of common student errors in calculus homework.

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Homework Statement



for the question and attempt see the attachment. I've nearly done this but from my ti-89 I know that i am missing a 2x from the top line and i can't find where its gone. been a while since I've done this and i think that its just a simple mistake... ps it does want the double differential but once i get the first diff right i should be able to finish it off... thanks for any help.

Homework Equations





The Attempt at a Solution

 

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pat666 said:

Homework Statement



for the question and attempt see the attachment. I've nearly done this but from my ti-89 I know that i am missing a 2x from the top line and i can't find where its gone. been a while since I've done this and i think that its just a simple mistake... ps it does want the double differential but once i get the first diff right i should be able to finish it off... thanks for any help.

Homework Equations





The Attempt at a Solution

The 2x is missing because you forgot that you need to use the chain rule.
 
so i did- thanks for that.
 

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