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Math 072 Study Guide for Test 1
(Wednesday, February 27)
The following topics will be covered. Review the concepts, the examples given in class, and the problems assigned.
Make sure that you know how to compute derivatives and integrals (especially, how to use the Chain Rule and the
Substitution Method). Ask me if anything is unclear. My email is chungwu.ho@evc.edu
•
(§7.1)
Inverse Functions and Their Properties
What is the
of a function? What are its defining properties ( 3 ,
4 , p. 387). What functions have an
inverse function
inverse? How can you tell if a function is onetoone? If a function has an inverse, how do you find its formula (when
possible)? How are the graphs of the function and its inverse related? How do you compute the derivative of the inverse
function in terms of that of the original function? Ex:
p.
, 5, 6, 7, 13, 14, 15, 24, 27, 33, 34, 35, 37, 41.
391
•
Exponential Functions and The Number e (§7.2)
What does the expression
mean ( where
and
are two constants)? How does the graph of
look like
+
+!
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This note was uploaded on 06/18/2008 for the course MATH 72 taught by Professor Ho during the Spring '08 term at Evergreen.
 Spring '08
 Ho
 Derivative, Integrals

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