Product Rule, Differentiation, Basic Proof, Examples - Calculus

This video explains how to derive the product rule using first principles, which is commonly taught in class 11, 12 or A level maths. It is used extensively in physics and you can add it to your formula sheet or cheat sheet. The other important rules to be covered later are the quotient rule and chain rule. A worksheet (PDF) of worked example practice questions (problems) with solutions is provided, which also shows how the product rule can be applied to functions with three terms.

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

- Questions Worksheet: https://drive.google.com/file/d/1-IfxXvhpMp43qxNG-21ZtIPqO4WMuvOk/view?usp=drive_link
- Answers: https://drive.google.com/file/d/1nchFi76DuCzBIx0TWesDVjlUz0qvNG7o/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 Product rule derivation
01:42 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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