Application of Derivatives — Part 2: Maxima and minima

• Chapter notes
• Practise questions

Slides

1. 1Application of Derivatives, Part 2: Maxima and minima
2. 2What you will be able to do
3. 3Local and absolute extrema
4. 4Where can extrema happen?
5. 5First derivative test
6. 6Worked example 1: first derivative test
7. 7Second derivative test
8. 8Worked example 2: second derivative test
9. 9When the second derivative test fails
10. 10Quick check: second derivative test
11. 11Absolute extrema on a closed interval
12. 12Worked example 3: closed interval method
13. 13The picture behind the comparison
14. 14Quick check: absolute maximum
15. 15Optimisation: a recipe
16. 16Worked example 4: the open box
17. 17Volume against the cut
18. 18Worked example 5: fencing against a wall
19. 19Quick check: largest rectangle
20. 20Quick check: a minimum value
21. 21Summary of Part 2
22. 22Exam tips for Part 2

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