Math 234 BL1  Exam 2 Review
Know how to:
2.1: Inspect a graph to determine the increasing/decreasing and concavity behavior of a function.
2.2: Relate the first and second derivative to increasing/decreasing and concavity behavior of a function.
Find the intervals on which a function is increasing and those on which it is decreasing.
Find the intervals on which a function is concave up and those on which it is concave down.
2.3: Accurately sketch a polynomial using the first and second derivative and identify the relative extreme
points.
Identify and classify each critical point of a function as a relative max or min using the first or second
derivative test.
2.4: Use the first and second derivative to accurately sketch the graph of a function involving
x
1
.
Note:
For 2.3 and 2.4, “accurately” means that when the function is concave up (increasing etc.) you
draw it that way.
For example, you may loose points if a segment of the graph is supposed to be
concave up and you draw a straightish line instead.
In other word do not leave it to the graders
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 Fall '08
 ZAKI
 Derivative, Implicit Differentiation, Mathematical analysis, Convex function, complicated derivatives. dx

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