Math Review 2
due: Jan, 22/23
The math review is collected on Tuesday / Wednesday, before the sections
starts. Note that the math review will be collected with certainty.
Some students asked me for books that would help them with calculus. I
provides lots of sample questions for training and you can get it for about $12.
However, the book contains much more than we need. The relevant chapters
1.
Concavity
For each of the following functions
f
(
x
)
, check whether the
function is concave, strictly concave, convex or strictly convex. Recall
that a function is strictly concave at
x
if
f
00
(
x
)
<
0
. Let
x >
0
:
(a)
f
(
x
) = 4
x
(b)
f
(
x
) =
3
p
x
(c)
f
(
x
) = (
x
2
+ 1)
2
x
2
(d)
f
(
x
) = ln
x
(e)
f
(
x
) =
ax
2
2. Find the extreme points (local and global max/mins) and the points of
in±ection for the following functions. Let
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 Winter '08
 Burbidge,John
 Derivative, Utility, Mathematical analysis

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