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Calculus OUR LAST CLASS
Calculus OUR LAST CLASS
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AP Calculus AB Review
Flashcards
43 cards
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Questions
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Answers
1
The first derivative of a function provides information about the _______ of that function.
concavity
slope
acceleration
speed
2
What does the mean value theorem state (for continuous, differentiable functions)?
Average slope < 0
average slope = instantaneous slope
average slope > 0
average slope ≠ instantaneous slope
3
Choose the correct answer: ∫(1/x)
dx
x-2 + C
2x-2 + C
ln∣x∣ + C
DNE
4
Who’s my favorite athlete ever?
Lionel Messi
Tom Brady
Lebron James
Michael Jordan
5
Choose the correct answer.
-25/27
-7/27
25/27
7/27
6
Choose the correct answer.
x < -1 and x > 3
All values of x
-3 < x < 1
-1 < x < 3
7
How do you find the area between two functions of x?
π(top + bottom)
∫(top - bottom)dx
∫(bottom - top)dx
top - bottom
8
Choose the correct answer.
y-1 = 2(x - π/4)
y -1= -2(x - π/4)
y = 2(x - π/4)
y = -2(x - π/4)
9
For all related rates problems, you must derive each term with respect to
x
time
area
volume
10
Choose the correct answer: (d/dx)[
a
u
] =
ln(a)·u'
au·u'
au·ln(u)·u'
au·ln(a)·u'
11
Choose the correct answer: ∫a
x
dx
xln(a) + C
ax / ln(a) + C
aln∣x∣ + C
2x-2 + C
12
Choose the correct answer: (d/dx)[
ln(u)
] =
ln(u)·u'
(1/u)∙ln(u)·u'
ueu·u'
(1/u)·u'
13
Favorite fast food
Burger King
Chick-FIl-A
KFC
Taco Bell
14
Choose the correct answer: ∫csc
2
(x)
dx
sin(x) + C
-cot2(x) + C
sec(x) + C
-cot(x) + C
15
How many kids do I have?
1
2
0
3
16
Choose the correct answer: (d/dx)[sin(u)] =
tan(u)·u'
cos(u)·u'
csc(u)·u'
-cos(u)·u'
17
Where is my happy place?
The Beach
Walt Disney World
The countryside
New York City
18
Favorite tv show DRAMA
Grey’s Anatomy
The Crown
Blacklist
NCIS
19
Choose the correct answer.
6x2sin(x3)cos(x3)
-6x2sin(x3)
6x2cos(x3)
-6x2sin(x3)cos(x3)
20
To find velocity from position, you must...
integrate twice
find the 2nd derivative
find the 1st derivative
integrate once
21
Choose the correct answer: (d/dx)[tan(u)] =
-csc2(u)·u'
sec2(u)·u'
sec(u)·u'
csc(u)·u'
22
What is my favorite coffee at starbucks
mocha
caramel frappuccino
machiatto
latte
23
Choose the correct answer.
4π/3
8π/3
32π/5
16π/3
24
Choose the correct answer.
-3
1
3
-1
25
Choose the correct answer: (d/dx)[cos(u)] =
sin(u)·u'
-sin(u)·u'
cos2(u)·u'
csc(u)·u'
26
Choose the correct answer.
x < -1 and x > 3
-1 < x < 3
All values of x
-3 < x < 1
27
Choose the correct answer.
1
e+1
e-1
0
28
To find position from acceleration, you must...
find the 2nd derivative
integrate twice
integrate once
find the 1st derivative
29
how many pets do i have?
four
none
three
one
30
Which celebrity Chris is my favorite?
Chris Hemsworth
Chris Pratt
Chris Pine
Chris Evans
31
Favorite football team
Patriots
Green bay
Rams
49ers
32
Choose the correct answer: (d/dx)[
e
u
] =
ueu·u'
ueu
eu + C
eu·u'
33
Find the lim
x→0
(sin
x
/ 2x)
-2
0
-1
1/2
34
Choose the correct answer.
8
13
14
11
35
favorite friends character
monica
phoebe
chandler
rachel
36
Choose the correct answer.
6
2
36
4
37
Choose the correct answer: ∫sec
2
(x)
dx
tan(x) + C
sin(x) + C
sin(x)cos(x) + C
cot2(x) + C
38
Choose the correct answer.
2e(t/2) + C
e-t + C
e(t/2) + C
e(-t/2) + C
39
Choose the correct answer.
6
7
4
2
40
Choose the correct answer.
32/3
16/3
28/3
14/3
41
The second derivative of a function provides information about the _______ of that function.
slope
acceleration
concavity
speed
42
Choose the correct answer: (d/dx)[
vu
] =
uv' + vu'
(uv') / (vu')
uv' - vu'
u'v'
43
Choose the correct answer: (d/dx)[
u/v
] =
uv' + vu'
(uv') / (vu')
(vu' - uv')/(v2)
uv' - vu'
