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2.1.  Remember that the first derivative test will tell where a function is increasing or decreasing.

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Presentation on theme: "2.1.  Remember that the first derivative test will tell where a function is increasing or decreasing."— Presentation transcript:

1 2.1

2  Remember that the first derivative test will tell where a function is increasing or decreasing.

3  Use the first derivative test to determine intervals of increase/decrease  Use the second derivative test to determine intervals of concave up/down

4  Concavity is the “bend” of the graph  Concave up –-  Concave down--

5  Points of Inflection- Similar to critical points. This is where a function changes from concave up to concave down.  Find the second derivative and find where it is equal to zero or is undefined  These are possible points of inflection

6  Perform the first and second derivative test on and determine the intervals of increase/decrease and concave up/down.

7  Perform the first and second derivative test on to determine intervals of increase/decrease and concave up/down.

8  Find all points of inflection as well as all intervals of concave up/down in the function on the interval [ ]

9  Pg 228 #31-45 odd find interval of increase/decrease and concave up and down


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