Mean Value Theorem!!

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Want to understand the mean value theorem in Calculus? Look no further! In just under a minute, learn what the Mean Value Theorem states using graphs to gain a deeper understanding.

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I think c must fulfill a<c<b, given the fact that f is differentiable on (a, b).

emilianpopa

Corollary (Rolle’s MVT): if f(a) = f(b), then there exists c in (a, b) such that f’(c) = 0

Application: e.g. can be used to prove Stirling’s asymptotic formula for the gamma (factorial) function

asparkdeity

And in your example graph, there would be two points that would have the same slope as the secant. How do we calculate or express that?

JTBettencourt

What software u use maam to make this animation?

anupamnigam

In 2005 i proved that mean value theorem doesn’t hold for sines and cosines

gudleifr_

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