What does the mean value theorem really say?

You can find the articles in this YT video here:

https://drive.google.com/folderview?id=0B-mOEooW03iLUUlFR0ZwMjNNVjg&usp=drive_web

1. proof_avtftc.pdf
2. The mean value theorem explained using positional derivates.pdf

The applets used are found here:

https://drive.google.com/folderview?id=0B-mOEooW03iLNUVFNEpuU2lRV1E&usp=drive_web&tid=0B-mOEooW03iLUUlFR0ZwMjNNVjg

1. Proof of mvt.ggb
2. Natural average.ggb

Also watch this video that discusses this topic in more detail:

https://www.youtube.com/watch?v=WrfywOcx7K4

Mean value theorem compared with other theorems:

https://socratic.org/questions/what-is-the-difference-between-mean-value-theorem-average-value-and-intermediate#267646 ... https://www.youtube.com/watch?v=se_Ik7GIQ34