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

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Presentation transcript:

2.1

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

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

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

 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

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

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

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

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