Math 202 – Test 2 Review
Chapter 12:
1.
Be able to accomplish an implicit differentiation.
2.
Be able to utilize logarithmic differentiation, that is, take the log or natural log of both sides of an equation, then
differentiate.
Use
properties stated above for natural log
if needed.
3.
Be able to take higher order derivatives.
•
Recognize and be able to use alternate notations that represent higher order derivatives.
(See table page 557.)
•
Be able to interpret a 2
nd
degree derivative in a practical situation.
4.
Be able to work with such derivatives in practical situations such as those presented in the text.
Chapter 13:
1.
Understand and be able to work with the concepts of an
increasing
or
decreasing
function.
•
Recognize that a function is increasing when its 1
st
derivative is positive.
•
Recognize that a function is decreasing when its 1
st
derivative is negative.
•
Be able to determine whether a function is increasing or decreasing in a specific interval.
2.
Understand and be able to work with the concepts of a
relative maximum
or
relative minimum
in the evaluation
(and in the graph) of a function.
•
Recognize that such a max or min
may
occur when the 1
st
derivative of a function is zero.
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 Fall '08
 SMITH
 Derivative, Implicit Differentiation, Mathematical analysis, Convex function

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