Behaviour of Implicit Relations, Derivatives, Examples - Calculus

Save
20 days ago
59
Health & Science Education implicit differentiation calculus implicit derivatives implicit relations implicit relation limit definition of a derivative derivative of implicit differentiation derivative of e^x sketching derivatives from parent function

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!

– Don’t forget to Like, Share & Subscribe for more easy-to-follow Calculus tutorials.

🔴Subscribe: https://rumble.com/user/drofeng

What part of Analytical Applications of Differentiation gave you the most difficulty? Comment below!👇
_______________________
⏩Playlist Link: https://rumble.com/playlists/Ptm8YeEDb_g
_______________________
💥 Follow us on Social Media 💥
🎵TikTok: https://www.tiktok.com/@drofeng?lang=en
𝕏: https://x.com/DrOfEng
🥊: https://youtube.com/@drofeng

Loading comments...