Upload
percival-palmer
View
283
Download
0
Embed Size (px)
Citation preview
Sec 3.4: Concavity and the Second Derivative Test
•Determine intervals on which a function is concave upward or concave downward.•Find any points of inflection of the graph of a function.•Apply the Second Derivative Test to find relative extrema of a function.
Definition of Concavity
Ex01: Determining Concavity
3
6)(
2 x
xf
Ex02: Determining Concavity
4
1)(
2
2
x
xxf
Points of Inflection
Ex03: Finding Points of Inflection
34 4)( xxxf
Determine the points of inflection and discuss the concavity of the graph of
Ex04: Using the Second Derivative Test
35 53)( xxxf
Find the relative extrema for
3.4 Problem Set A
• 1, 4, 7• 10, 13, 16, 19• 25, 27• 30, 33, 36, 39