Applications of Differentiation - Incremental or Percentage Change (Pendulum Problem)

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#calculus #applications #derivatives

In this video, I use the approximation formula for small changes in the lengths to approximate the percentage change in the period of a simple pendulum when the length changes by 6%.

A have got a solution to this problem with all of my working our available at the following link:

It is the type of problem that needs to be solved many times so that you become familiar with what to look for when doing the problem.

I hope the video helps.

Cheers,

Harold Walden

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I have one biggest doubt : why this way does not work with KE and momentum problem.
Eg : if momentum is increased by 10% then increase in KE is actually 21%. But with this way we get 20% increase. Can you explain me why ???

anuragmishara
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I have a fully worked solution to this problem available at the following link:

HaroldWalden