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Math 10A Midterm 2
Review Session
Time: 7:00pm8:00pm
Date: Feb. 27
th
, 2008
Location: Center 216
The exam will consist of approximately
5 complete answer questions (10 points each)
.
Many questions are quite similar to the practice midterm and other assigned
homework/review problems. Maybe you should look back over those…
You
will
be allowed a calculator on the exam, so please bring one. There is no restriction
on what you can bring, but you will not need anything more powerful than a TI83. (You
can probably get away with just a TI34, actually.)
You
should
bring a number two pencil. (You can bring more than one if you feel so
inclined.) You will need to bring
your own
reference sheet for the exam. You can put
whatever you feel is important on it (see the rest of this document for ideas.) Please,
do
not bring anything more than this.
We reserve the right to place your backpacks in the front of the class (and probably will
for the final exam). Also, you don’t need to worry about bringing a blue book, as you will
be able to write directly on the exam.
The exam will be held in class on
Friday
,
February 29
th
.
It is going to be crowded and we are going to be extra vigilant on looking out for
cheaters. If we catch you cheating, you will be referred to your college provost. It is even
possible that you will be expelled from the university.
Bottom line: Don’t cheat on this
exam
. Really, it’s not worth it.
The test is designed to take about forty minutes. This means that you should have
sufficient time to go back through your work and check your math. Remember,
does
your answer make sense?
(Draw a picture/plug numbers in.)
Solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10a/winter2008/
some time after the exam so you can get a rough idea how you did. (Solutions should be up
by Saturday evening, if not sooner.)
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View Full Document 2
Section 3.1: Powers and Polynomials
If you have a constant times a function that you are taking the derivative of, you can
factor out the constant.
ex.
()
() ()
22
33
3
2
6
dd
x
xx
x
dx
dx
==
=
.
If you are taking the derivative of the sum/difference of two functions, you can take
the derivative of each piece
ex.
2
2
31
3
1
d
x
x
x
x
dx
dx
dx
−=
−
=
−
=
−
.
A special case of the power rule is
x
.
( )
1/2
11
2
2
xxx
dx
dx
x
−
=
.
Know how to find the equation of the tangent line to the graph at a point.
ex. Find the eq. of the tangent line of
y
=
x
2
at the point (1,1).
(For a graphical solution, see the picture in Section 2.2.)
Section 3.2: The Exponential Function
Know
(ln )
x
x
d
aa
a
dx
=
. A special case of this is
a
=
e
. Then
(ln )
x
d
ee
e
e
dx
.
Section 3.3: The Product and Quotient Rules
Know the product and quotient rules and how to apply them to problems
Product Rule:
()()
d
f xgx
f xg x
dx
′
′
=+
.
Quotient Rule:
2
[()
]
df
x
f
x
g
x
f
x
g
x
dx
g x
g x
′
′
⎛⎞
−
=
⎜⎟
⎝⎠
.
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This note was uploaded on 04/08/2008 for the course MATH 10A taught by Professor Arnold during the Fall '07 term at UCSD.
 Fall '07
 Arnold
 Math

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