2.5 Mean Value Theorem for Derivatives Explained

0:00 Introduction
0:33 Rolle’s Theorem
4:35 Rolle’s Theorem proof
8:05 Mean Value Theorem for Derivatives
14:06 Mean Value Theorem for Derivatives proof
23:14 Corollary 1 of the Mean Value Theorem for Derivatives
27:04 Corollary 2 of the Mean Value Theorem for Derivatives
In this video, we explain the Mean Value Theorem for Derivatives. We explain Rolle’s Theorem, and we use this to explain the Mean Value Theorem. We also describe and explain two corollaries of the Mean Value Theorem.
The Mean Value Theorem is used to prove the Fundamental Theorem of Calculus.
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