3. Derivatives

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Concept Of The Derivative

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   The derivative is a fundamental concept in calculus that measures how a...

2. 1.1

   What Is A Derivative?

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   The derivative is a fundamental concept in calculus that measures the rate...

3. 1.2

   Definition Of The Derivative (Limit Definition)

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   The derivative at a point measures the rate of change of a function as its...

4. 2

   Basic Rules Of Differentiation

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   This section introduces the basic rules of differentiation, including the...

5. 2.1

   Derivative Of A Constant Function

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   The derivative of a constant function is always zero as there is no rate of change.

6. 2.2

   Derivative Of Power Functions (Power Rule)

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   This section introduces the Power Rule for finding the derivative of power...

7. 2.3

   Sum And Difference Rules

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   The Sum and Difference rules provide a shortcut for finding the derivatives...

8. 2.4

   Constant Multiple Rule

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   The Constant Multiple Rule allows students to differentiate functions that...

9. 3

   Common Derivatives

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   This section focuses on common derivative functions and their calculation,...

10. 4

    Finding The Equation Of A Tangent Line

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    This section explains how to find the equation of a tangent line to a...

11. 5

    Applications Of Derivatives

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    Derivatives play a crucial role in measuring rates of change and identifying...

12. 5.1

    Rate Of Change

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    The rate of change is a fundamental concept in calculus represented by...

13. 5.2

    Finding Maximum And Minimum Values

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    The section discusses how to find local maxima and minima of functions using...

14. 6

    Step-By-Step Examples

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    This section provides step-by-step examples illustrating how to find...

15. 7

    Summary

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    The section provides a foundational understanding of derivatives, focusing...