1. Calculus Lecture 10: Application of Derivatives
By:
Nur Uddin, Ph.D

2. Nilai Min
Nilai Max
Grade
39.99 E 40
49.99 D 50
54.99 C- 55
59.99 C 60
64.99 C+ 65
69.99 B- 70
74.99 B 75
79.99 B+ 80
89.99 A- 90
100 A

3. Overview
One of the most important applications of the derivative is its use as a tool for finding the optimal (best) solutions to problems.
Optimization problems abound in mathematics, physical science and engineering, business and economics, and biology and medicine.

4. Extreme value of functions

5. Example

6. Maximum and minimum points

7. Local extreme values

8. Finding extrema

9. Critical point

10. Second derivative test for local extrema

11. Example

12. Example (cont’d)

13. Optimization

14. Optimization (cont’d)