1. Chapter 4.1 – 4.3 Review Thursday, September 24 Essential Question How do we use differential calculus as a powerful problem-solving tool to analyze graphs of functions ?

3. Find the location of the indicated extremum for the function. 1.Minimum

4. Find the location of the indicated extremum for the function. 2.Minimum

5. Find the extreme values of the function on the interval and where they occur.

7. Find the extreme values of the function and where they occur.

8. Find the derivative at each critical point and determine the local extreme values.

9. Give an appropriate answer.

10. Answer the question.

11. Use analytic methods to find the local exrema.

13. Use analytic methods to find those values of x for which the given function is increasing and those values of x for which it is decreasing.

14. Find all possible functions with the given derivative.

15. Find the function with the given derivative whose graph passes through the point P.

16. Use the First Derivative Test to determine the local extrema of the function, and identify any absolute extrema.

17. Use the Concavity Test to find the intervals where the graph of the function is concave up.

18. Find the points of inflection.

19. Use the Second Derivative Test to find the local extrema for the function.

20. Use the given derivative of the function to find the local extrema of the function.

21. Sketch a graph of a single function that has these properties