AP Calculus AB
-
Upload
kaseem-burgess -
Category
Documents
-
view
28 -
download
0
description
Transcript of AP Calculus AB
![Page 1: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/1.jpg)
04/19/23 Perkins
AP Calculus AB
Day 4Section 3.3
![Page 2: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/2.jpg)
Find the extrema and sketch 4
2
1xf x
x
3' 2 2f x x x Critical numbers:
3 0x 42 2 0x 4 1x 0x
1x
VA at x = 0
Intervals: , 1 10, 0,1 1,Test values: 3 1
2 12 3
f ’(test pt) f(x) dec inc dec inc
smooth
V.A.
rel min V.A. rel min
1x 0x 1x
1 2f
1 2f
1,2 1,2
2 2x x
3
22x
x
4
3
2 2x
x
![Page 3: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/3.jpg)
4
2
-2
-4
-5 5
4
2
1xf x
x
![Page 4: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/4.jpg)
Given: ' 0 on ( , 2)f x
' 0 on ( 2, )f x
Fill in the appropriate inequality:
2 3q x f x ' 4 0q
4m x f x ' 4 0m
f is decreasing
f is increasing
Move f up 3 and stretch by 2 q is still increasing
Move f up 4 and flip vertically m is decreasing
![Page 5: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/5.jpg)
Perkins
AP Calculus AB
Day 4Section 3.3
![Page 6: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/6.jpg)
Find the extrema and sketch 4
2
1xf x
x
![Page 7: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/7.jpg)
4
2
-2
-4
-5 5
4
2
1xf x
x
![Page 8: AP Calculus AB](https://reader036.fdocuments.net/reader036/viewer/2022082710/56812c70550346895d9107da/html5/thumbnails/8.jpg)
Given: ' 0 on ( , 2)f x
' 0 on ( 2, )f x
Fill in the appropriate inequality:
2 3q x f x ' 4 0q
4m x f x ' 4 0m