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The Betz limit represents the maximum energy obtainable from a flowing fluid. This is a new topic for me, but Wikipedia has an entry under Betz' Law (don't forget the apostrophe after Betz) which may help you. This is a rather specialised topic and if Wikipedia does not give what you want you will probably have to consult a textbook on the subject.

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Q: How do you differentiate the betz limit with respect to v2?
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