Understanding the Chain Rule for Derivatives

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The discussion revolves around confusion regarding the application of the chain rule in derivatives, specifically in the equation dw/dy * dy/dt = (-2)t^(-3) * dy/dt. Participants express concerns about the lack of a clearly stated problem and the discrepancy between the provided solution and their calculations. There is also a query about copyright issues related to the working shown. Clarification is sought on the proper use of the chain rule and how to align the solution with the original problem. Understanding these elements is crucial for accurately applying the chain rule in calculus.
oswald
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Homework Statement


3c.GIF

Homework Equations


The Attempt at a Solution



My dought is about if
a.gif
,dw/dy*dy/dt = (-2)t^(-3)*dy/dt
 
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Why is your working under copyright? And why does the solution look nothing like that? And why is there no problem stated?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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