# Textbook Notes for katznelson

UCSCAMS 11AkatznelsonFall

## AMS 11A Chapter 11.2: 2016 10 05 (11.2)

OC11302052 Page
18 Oct 2016
6
If functions f and g have derivatives f" and g", respectively, then f + g has a derivative given by (f + g)" = f" + g". If f * g denotes the function w
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UCSCAMS 11AkatznelsonFall

## AMS 11A Chapter Notes - Chapter 10.1: Constant Function

OC11302052 Page
2 Oct 2016
1
Limit: the notion of getting closer and closer to something, but yet not touching it. Example: in the equation , as the value of x increases and gets c
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UCSCAMS 11AkatznelsonFall

## AMS 11A Chapter 10.3: 2016 09 30

OC11302052 Page
17 Oct 2016
6
Show that f(x) = 5 is continuous at 7. A function is continuous on an interval if it is continuous at every point. A function is continuous on its doma
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UCSCAMS 11AkatznelsonFall

## AMS 11A Chapter Notes - Chapter 11.1: Difference Quotient

OC11302053 Page
18 Oct 2016
1
If the difference z - a is called h, then we can write z as a + h (where h 0) If the coordinates of p are (a, f(a)), and the coordinates of q are (z, f
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UCSCAMS 11AkatznelsonFall

## AMS 11A Chapter 10.2: 2016 09 28

OC11302053 Page
16 Oct 2016
7
In this example, f(x) is not defined when x = 5. Since the limit of a function has to be independent of the way x approaches a, From the right, + (cid:
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