Time derivative using the quotient rule

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SUMMARY

The discussion centers on the application of the quotient rule for calculating time derivatives in mechanics, specifically when both variables "r" and "theta" are time-dependent. The user seeks confirmation on the correctness of their application of the quotient rule in their numerical solution. The consensus among participants is that the quotient rule has been applied correctly in this context.

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  • Familiarity with the quotient rule in calculus
  • Knowledge of time-dependent functions in mechanics
  • Basic principles of numerical methods for solving mechanics problems
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Mishal0488
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Hi Guys

Sorry for the rudimentary post. I am busy with a numerical solution to a mechanics problem, and the results are just not as expected. I am re-checking the mathematics to ensure that all is in order in doing so I am second guessing a few things

Referring to the attached scan, is the quotient rule used correctly when taking the time derivative of the function? Note that both "r" and "theta" are time dependent.

Thanks in advance
 

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Looks right.
 

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