Lesson #83
Review for Test on Chapter 5




Quote of the Day:
"Medicine makes people ill, mathematics makes them sad, and theology makes them sinful." -- Martin Luther

Objectives:
The student will review all the applications of the derivative.



1. Collect Homework.

2. Outline of Chapter 5 Test

I. Multiple Choice (1 - 8)
1. Find the interval where a function is increasing / decreasing
2. Find the absolute maxima / minima
3. Rolle's Theorem
4. Mean Value Theorem
5 - 6. Given the graph of the derivative, find relative maxima, relative minima, points of inflection.
7. Find interval where a function is concave up / down.
8. Concepts of Relative extrema and concavity

II. Free Response (9 - 20)
9 - 10. Given the equation of a function, determine where it is increasing, decreasing, concave up, concave down, relative extrema, points of inflection.
11. Sketch a curve given various properties
12. Sketch a curve given various properties
13. Sketch a curve given various properties
14. Find k such that the function has a point of inflection or relative minimum at a given point
15. Newton's Method
16. Rectilinear Motion
17. Applied Max / Min Problem
18. Applied Max / Min Problem
19. Applied Max / Min Problem
20. Mini golf problem

3. Problems for Review:
Click here for Review Problems on Applied Maxima Minima



4. Assignment:
Study for test

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Send any comments or questions to: David Pleacher