Second Derivative Test, Local Extrema, Visual Proof, Example - Calculus

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This video explains the second derivative test, which determines if a critical point of a function is a local minimum or maximum (concavity), or inflection point (= 0). The topic is covered in class 12 maths. 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 Concavity of functions
01:17 Second derivative test
02:17 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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