Derivative of a Function, Definition, First Principles, Geometry, Examples - Calculus

This video explains what the meaning of the derivative is in maths (typically class 11 and 12 calculus), including introduction, formula, definition by first principle, how to represent and estimate it graphically, numerically, analytically, verbally and using technology. Worked example practice problems are provided. You will be able to use the definition to prove the derivatives of elementary functions like sin, cos, tan, ln, e to the power x, ex, x and trigonometric functions.

📌 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 Rate of change at a point
01:35 Definition of the derivative, with example
04:09 Representing the derivative
06:21 Derivatives at a point
07:40 Estimate the derivative using technology

📌 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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What part of Differentiation (Definition and Fundamental Properties) gave you the most difficulty? Comment below!👇
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