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Published byKenneth Bradley Modified over 9 years ago
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Remember that the first derivative test will tell where a function is increasing or decreasing.
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Use the first derivative test to determine intervals of increase/decrease Use the second derivative test to determine intervals of concave up/down
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Concavity is the “bend” of the graph Concave up –- Concave down--
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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
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Perform the first and second derivative test on and determine the intervals of increase/decrease and concave up/down.
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Perform the first and second derivative test on to determine intervals of increase/decrease and concave up/down.
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Find all points of inflection as well as all intervals of concave up/down in the function on the interval [ ]
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Pg 228 #31-45 odd find interval of increase/decrease and concave up and down
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