Let f x cos x sinx a Find the absolute minimum and maximum

Last updated: 10/9/2023

Let f x cos x sinx a Find the absolute minimum and maximum values of on 0 27 This is asking for the minimum and maximum y values b Find the absolute minimum and maximum values of f on 0 00 Explain Hint How does the graph of f on relate to the graph on 0 27 If you re not sure try graphing the function on a calculator or computer How could you have figured out the behavior without a calculator c Reflect Back Akiko Batari and Carole are working on a All three have found the critical points of f on 0 27 and they have different ideas on what to do next Akiko says I ll use the First Derivative Test Batari says I ll use the Second Derivative Test Carole says I ll plug the critical points and endpoints 0 and 2 into f to see which have the highest and lowest values of f those are the absolute maximum and absolute minimum Do all three have complete plans or might they need to do more work beyond what they said liko best and why