Math Review 1
due: Jan, 14/15
The math review is collected on Tuesday / Monday, 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
think, Barron°s "How to prepare for the AP Calculus 2008" is a good source. It
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
are 1,3ah, and 4 ai, L. You don°t need to worry about trigonometric functions.
1.
Derivatives
For each of the following functions
f
(
x
)
calculate the deriva
tive:
(a)
f
(
x
) = 4
x
(b)
f
(
x
) = 3
x
2
+
3
p
x
(c)
f
(
x
) = (
x
2
+ 1)(3
x
°
1)
(d)
f
(
x
) = 7 ln(1 +
x
)
(e)
f
(
x
) = 7 ln(
x
1
2
)
(f)
f
(
x
) =
°
x
1
2
+ 4
±
3
2.
Graphs:
Graph the following relationships in a coordinate system with
x
1
on the horizontal axis and
x
2
on the vertical axis:
(a) Plot
x
2
= 2
x
1
+ 10
and
x
2
= 1
°
3
x
1
.
(b) Plot
x
2
= 1 + (
x
1
)
2
and
x
2
= (1
°
x
)
2
(c) Plot
x
2
= 1 +
p
x
1
(d) Plot all points
x
1
+
x
2
±
7
and
x
1
²
0
and
x
2
²
0
.
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 Winter '08
 Burbidge,John
 Derivative, xa

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