MIT 18.100A Real Analysis, Fall 2020 - Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem

MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We begin proving key properties of derivatives, such as the infamous product rule, quotient rule, and chain rule. We also prove the Mean Value Theorem (MVT), the low-key hero of calculus, and consider some applications. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.