Intervals of Increasing/Decreasing, Relative Min/Max

The first graphic shows the relationship between a function's behavior and it's first derivative and also the steps to identify the intervals of increasing/decreasing.



The second graphic states the First Derivative Test which tells us whether the function has a relative minimum, relative maximum or neither at each critical number.



The third graphic shows an example of finding intervals of increasing and decreasing in a function and makes use of the First Derivative Test to draw conclusions about relative minimums and maximums. Our notation is handwritten below. You can feel free to use any notation that works for you. In the end though, you must state specifically any conclusions you draw from the sign chart.



Please complete 11-35 odds for Monday. Thanks and enjoy your blizzard!