Is there any application for the derivative of the inverse function?

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The discussion centers on the practical applications of the derivative of inverse functions, particularly in the context of a math class assignment. Participants express curiosity about real-life uses beyond theoretical understanding, as the teacher posed a question regarding its application. One user mentions conducting research but found limited information on practical uses. A link to an online resource is shared, indicating some effort to find relevant examples. The conversation highlights a gap in accessible information on the topic, prompting further inquiry among peers.
awaizy
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In my math class we are learning about inverse functions and how you can find if the inverse of a function is a function using the first derivative test. Our teacher omitted some of our homework regarding the derivatives of the inverse and he posed the question of how one would practically use the derivative of the inverse function in a real-life situation.

I did some research on it, but beyond information about how to find it, I came up with nothing.

Any one know some uses?

Thanks in advance.
 
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To answer a teachers question :D
 
Haha.. good one. I'll have to ask some people tomorrow...
 
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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