1. Applications of Differential Calculus DP Objectives: 7.4, 7.5, 7.6
Contents:
Increasing and Decreasing Functions
Stationary points
Rates of change
Optimisation

4. Review of Intervals

5. Increasing and Decreasing Functions

9. Sign Diagrams

10. 1. 2. 4. 3.

11. Example
Find the roots of the given function
Label the roots on the sign diagram
Check the sign of the derivative in the given interval
Decide if the function is increasing or decreasing based on the sign in the sign diagram

12. Quick Review

14. Stationary Points

16. Example

17. Example:

18. Practice Problem

19. Recall the Vocabulary Increasing function Decreasing function
Intervals
Sign diagram
Critical values
Stationary Points
Maximum
Minimum
Points of inflection

20. Rates of Change

21. Example 1

22. Now Try this -