Chain Rule of Differentiation, Derivatives, Composite Functions, Examples - Calculus

This video explains how to derive (step-by-step basic proof) and apply the chain rule to evaluate the derivatives of composite functions (u v), which is typically covered in class 11 and 12 maths. You can also add this to your formula sheet, along with the product rule and quotient rule. We will use it later to evaluate the derivatives of trig functions, and it can be extended to partial derivatives and integration (u-substitution). Worked example practice questions and solutions are provided to supplement your learning from platforms like Khan Academy.

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

- Questions Worksheet: https://drive.google.com/file/d/1Kz_Al0UcyEqyLsrD1taFXvqQps-bHDR4/view?usp=drive_link
- Answers: https://drive.google.com/file/d/11133Xv_5h2foZW0DxqseyDPMIR09aeB3/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 Chain rule derivation, composite functions
01:39 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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