2.1 Functions and Their Graphs

1
PG. 409 Notes and Examples for Integration
State Standard 15.0b Students use the
fundamental theorem of calculus to interpret
integrals as antidervivatives. 14.0 Students
apply the definition of the integral to model
problems of physics, economics, and so forth
obtaining results in terms of integrals. Objective
To be able to use the 2nd derivative test to
find concavity and points of inflection.

• Created by
• Jason L. Bradbury

2
Example 1 Find the general solution fo the
differential equation
To begin, you need to find a function whose
derivative is 2.
Now we can apply the Theorem
3
(No Transcript)
4
Differentiation Formula Integration
Formula
5
Differentiation Formula Integration
Formula
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9
(No Transcript)
10
(No Transcript)
11
(No Transcript)
12
(No Transcript)
13
Pg. 409 H/W
Here are some examples from the homework
14
Pg. 409 H/W
Here are some examples from the homework
15
Pg. 409 H/W
Here are some examples from the homework