Trigonometric Integral
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 7.3 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture note
Area As A Limit & Sigma Notation
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 5.4 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your le
Improper Integrals
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 7.8 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture notes.
E
Differential Equations & Separation of Variables
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 8.2 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resou
The Definite Integral
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 5.5 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture notes
Work
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 6.6 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture notes.
EXPECTED SKILLS
Length of a Plane Curve (Arc Length)
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 6.4 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and you
Partial Fraction Decomposition
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 7.5 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lect
The Indefinite Integral
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 5.2 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture not
Integration by Parts
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 7.2 of the recommended textbook (or the equivalent chapter in your alternative textbook/online resource)
and your lecture notes.
Math 181 - Exam 2 - Due: 5/21/2017
Name:
The following rules apply:
Exam Coverage: Exam 2 covers material from
Units 4-6. Specifically, you should be familiar with
topics from chapters 10.4, 10.5, 5.1, 5.2, and 5.3.
Exam Availability & Deadlines: This e
Nancy Torres
Assignment 05 Week1 Slopes and Equations of Lines due 04/09/2017 at 11:59pm EDT
181-Sp17-ARAN
c
b
a
1. (30 points)
What is the slope of the line through (-9, -6) and (1,7)? If the
slope is undefined, type undefined .
(correct)
3. (10 point
12.4 and 12.5 Derivatives of Exponential and Logarithmic Functions
Continuing with our numbered rules:
8) Derivative of the Exponential Function
Incorporating this with the chain rule we get the following VERY IMPORTANT rule:
If
is a differentiable func
12.3 The Chain and General Power Rules
7) The Chain Rule
If
, then:
Equivalently, if we let
we would have
and thus
, then:
where n is a real number. In these cases a shortcut
Many composite functions have the form
formula called the general power rul
12.2 Derivatives of Products and Quotients
5) The Product Rule
It may be easier to remember as:
( 1st )( derivative of 2nd ) + ( 2nd )( derivative of 1st )
6) The Quotient Rule
It may be easier to remember as:
(bottom)(derivative of top) -
11.1 Limits
The limit of a function f (x) as x approaches some value c, written as lim f ( x ) , is the number that f ( x)
x c
approaches as x approaches c (in other words, it is value that y gets close to as x approaches its target value).
This is differ
12.1 Techniques for Finding Derivatives
In addition to
, there are several other different ways of expressing the derivative. If you have y written in
terms of x, then the derivative of y with respect to x can be expressed as
written in terms of x, the
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