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

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Health & Science Education calculus second derivative test relative extrema second derivative test second derivative test for local maxima and minima calculus second derivative second derivative test problems calculus 2nd derivative test second derivative test calculus local extrema second derivative test fails

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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