Local Linearity and Error Approximation, Tangent Line, Examples - Calculus

This video explains how the local linearisation formula of a differentiable function simplifies calculations by estimating change, which is typically covered in class 12 maths (AP, IB, NEET). The definition, meaning and importance of the method is closely related to zooming in on the tangent line for estimating the value of the function near the given point. The tutorial also demonstrates how the differential method is used for error approximation. You will be able to understand if the error is overestimated or underestimated. A worksheet of problems 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/1PHEth8jm90Yy-42wKfBXG6_-1oi2nUDL/view?usp=drive_link
- Answers: https://drive.google.com/file/d/1wlHR_SPWlSvvi0RjTmYAaxscP6WPTr-l/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 Local linearity
01:16 Error approximation
02:27 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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