Math 132
Test 2, Form A
Chapter 10
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Math 132
Quiz 3, Form A
10.1
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1) Find the critical numbers

Math 132
11.1 Notes
Derivatives of Natural Logs:
Derivatives of logs:
d
1
[ln x]
dx
x
d
1 du
[ln u ]
dx
u dx
d
1 1
[log a x ]
dx
ln a x
d
1 1 du
[log a u ]
dx
ln a u dx
Ex 1) Find the derivative of the following:
a) y = ln x ln( x 1)
b) f ( x) x 2

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Math 132
Quiz 2
9.3-9.4
Show all work to receive full credit and be eligible for partial credit. Place your answers in the
blanks provided. This is due at the beginning of class on Wednesday, February 12.
1) Find the average rate of change for the

Math 132
10.1 notes
In this graph, the y-values are falling from to 1 and again from 5 to . The y-values
are rising from 1 to 5. When the y-values are rising, we say the function is increasing,
and when they are falling, the function is decreasing.
Everyw

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Math 132
Quiz 3, Form B
10.1
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blanks provided. You may leave when you are finished. Have a terrific spring break.
1) Find the critical numbers

Math 132
10.2 notes
Def concave up where a graph opens upward (holds water)
Def concave down where a graph opens downward (spills water)
Notice that when a graph is concave up, its slopes of the tangents are increasing
(therefore, so is the derivative) an

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Math 132
Quiz 3, Form A
10.1
Show all work to receive full credit and be eligible for partial credit. Place your answers in the
blanks provided. You may leave when you are ﬁnished. Have a terriﬁc spring break.
1) Find the critical numbers and cr

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Seat
Math132
Quiz 1, Form A
9.1-9.2
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blanks provided. You may leave when you are ﬁnished.
1-4) Find the limits.
x2—36
1 lim——“’./3 ts 1 5
)x—>6x2—3x—18

Math 132
Test 1, Form A
9.1-9.7
Name i‘ &
Seat
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blanks provided. Ask questions if you are unsure what you are being asked to do. You may
leave when you are ﬁ

Math 132
Test 3, Form A
Chapters 11.1-11.3, 12.1-12.2
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Seat
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blanks provided. You may leave when you are ﬁnished. Good luck. 1—5) Find the derivativ

Math 132
Section 10.3-10.4
Applications
Ex 1) A company has found that its weekly profit from the sale of x units of an auto part
is given by P(x) = .02x3 + 600x 20,000. Production bottlenecks limit the
number of units that can be made per week to no more

Math 132
11.2 Notes
So far, we have done derivatives of polynomial, rational and logarithmic functions. In
this section we will begin finding the derivative of e x .
dy
ex
dx
If y e x , then
If y = eu where u is a differentiable function, then
Ex 1) Find

Math 132
Test 3, Form B
Chapters 11.1-11.3, 12.1-12.2
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blanks provided. You may leave when you are finished. Good luck.
1-5) Find the derivativ

Math 132
Test 3, Form A
Chapters 11.1-11.3, 12.1-12.2
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Seat _
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blanks provided. You may leave when you are finished. Good luck.
1-5) Find the derivativ

Math 132
Test 1, Form B
9.1-9.7
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blanks provided. Ask questions if you are unsure what you are being asked to do. You may
leave when you are fi

Math 132
Test 1, Form A
9.1-9.7
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blanks provided. Ask questions if you are unsure what you are being asked to do. You may
leave when you are fi

Math 132
Test 2, Form B
Chapter 10
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Math 132
Quiz 5
12.3
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blanks provided. This is due at the beginning of class on Friday.
Evaluate the given integrals.
1)
2)
3)
4)
(2 pts)
5e d

Math 132
Section 12.3
Integration of Exponential and Logarithmic Functions
Integration of exponential functions:
e dx e
x
x
C
e udx e
Find the following indefinite integrals.
1)
2)
7e x dx
4)
te
t2
u
C
3)
t
e (2t )dt
2
5)
dt
u
e
2x
(1 e2 x )3 dx
900e

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Math 132
Quiz 4
11.1-11.3
Show all work to receive full credit and be eligible for partial credit. Place your answers in the
blanks provided. This is due when you get to class on Friday.
Find the derivatives.
1)
(3 pts)
y ln x3 e x 7 x 4
2)

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Math 132
Quiz 4, key
11.1-11.3
Show all work to receive full credit and be eligible for partial credit. Place your answers in the
blanks provided. This is due when you get to class on Friday.
Find the derivatives.
1)
2
(3 pts)
y ln x3 e x 7

Math 132
12.1-12.2 Notes
So far we have been finding derivatives of given functions. Many of the problems in
calculus involve doing the reverse: given a derivative, find the original function, the
antiderivative. The process of finding the antiderivative

Math 132
Test 2, Form A
Chapter 10
Name
Seat
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in the blanks provided. Ask questions if you are unsure what you are being asked to do.
You may leave when you are ﬁni