1. Umm Al-Qura University
بسم الله الرحمن الرحيم
Umm Al-Qura University
Health Sciences College at Al-Leith
Department of Public Health
Lecture (3)

2. Derivatives

3. Objectives: 1/ Know Definition of Derivatives.
2/ Define Derivatives Lows .
3/ Calculate Derivatives of Functions by using Lows.

4. Symbols for the derivative of the function f(x) :

5. Derivative from first principles

6. Example: differentiate f(x) = from first principles

7. Example

8. Exercise
Find the derivatives of the following functions from first principles
f(x) = 3x
f(x) = x - 2

9. differentiation rules

10. Example 2:

11. Very Important

12. Example 3:

13. Example 4:

14. Example:

15. Example:

18. Example:

19. Examples for the power rule

21. Example:

22. Thanks Radia