Behaviour of Implicit Relations, Derivatives, Examples - Calculus

This video explains how to analyse the behaviour of implicit functions using implicit differentiation to find the derivatives (dy/dx and y''(x)). Like explicit functions, the derivatives reveal certain properties like increasing/decreasing, horizontal and vertical tangents, critical points and extrema. A worksheet (PDF) of questions with solutions is provided for practice.

📌 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 Behaviour of implicit relations
01:54 Worked examples

📌 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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