Derivative Troubles: A Scientist's Dilemma?

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The discussion revolves around difficulties in deriving a function correctly, leading to a mismatch between the user's solution and the expected answer. The user realizes that the error originated from the initial steps of the derivation process. They mention the importance of using the FOIL method and the chain rule in their calculations. The conversation emphasizes the need for careful application of these mathematical techniques to achieve the correct derivative. Ultimately, the user seeks clarification on their approach to ensure accurate results.
Garlic
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Hello PF,

1. Homework Statement


I've been having problems with the deriative of a function, although I thought I've done everything right, my solution doesn't match with the right solution. I have no clue what (or if) I've done anything wrong, or simply don't know the tricks I was supposed to use.

Homework Equations

+ 3. The Attempt at a Solution [/B]

IMAG1382_1.jpg
 
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Okay, so it appears, that I haven't correctly derived the function at the beginning, so the problem begins with the first row.
 
Foil everything... Than you're just going to be using the chain rule
 
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Take the derivative with respect to t
 
Thank you! :smile:
 
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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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