Mean Value Theorem, Derivatives, Definition, Visual Proof, Examples - Calculus

This video explains what is the mean value theorem MVT for differentiation and how it is used in calculus. The MVT formula is covered in class 12 and engineering mathematics and helps with understanding derivatives. Continuity and differentiability are the that need to be satisfied for application of the MVT to first order and higher order derivatives. A worksheet (PDF) of questions with solutions is provided for practice, which includes applications to instantaneous and average velocity and second order derivatives.

📌 Worksheets are provided in PDF format to further improve your understanding:

- Questions Worksheet: https://drive.google.com/file/d/1-6NeYDqLKVXwGn2cLGddt-RgPwE6BRkS/view?usp=drive_link
- Answers: https://drive.google.com/file/d/1ZcFgkcsWJvJAyThTUTCfGbEP0LqGLGtx/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 MVT definition and visual proof
01:01 Worked example

📌 Perfect for calculus students and exam preparation, this tutorial uses plenty of examples and easy-to-follow explanations.

👉 Make sure to check out our full Calculus 1 and 2 course playlist, which covers differentiation, integration, sequences and series and their applications!

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