Objectives: The student will demonstrate knowledge of all the applications of the derivative. 1. Distribut the test. 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 |