stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Duplicate of AP Calculus AB Review Flashcards | StudBud
Explore
/
Duplicate of AP Calculus AB Review
Duplicate of AP Calculus AB Review
37 terms
·
StudBud Administration
·
46 plays
AP Calculus AB Review #calculus #math #ap #derivatives #integrals
Flashcards
37 cards
F
Practice quiz
P
Host live
L
Questions
37
Answers
1
Choose the correct answer.
14
11
8
13
2
Choose the correct answer.
-3
1
-1
3
3
What does the mean value theorem state (for continuous, differentiable functions)?
average slope > 0
average slope = instantaneous slope
average slope ≠ instantaneous slope
Average slope < 0
4
Choose the correct answer: ∫sec
2
(x)
dx
cot2(x) + C
sin(x)cos(x) + C
sin(x) + C
tan(x) + C
5
Choose the correct answer: (d/dx)[csc(u)] =
-csc(u)cot(u)·u'
sec2(u)·u'
csc(u)cot(u)·u'
-csc(u)tan(u)·u'
6
How do you find the area between two functions of x?
π(top + bottom)
∫(top - bottom)dx
top - bottom
∫(bottom - top)dx
7
Choose the correct answer.
16π/3
8π/3
32π/5
4π/3
8
Choose the correct answer.
7
2
6
4
9
What method is used to find volume?
Newton's method
washer or shell method
Pascal's method
L'Hopital's method
10
Choose the correct answer.
32/3
28/3
16/3
14/3
11
Choose the correct answer: (d/dx)[cot(u)] =
sec(u)tan(u)·u'
sec2(u)·u'
-csc2(u)·u'
-csc(u)tan(u)·u'
12
Choose the correct answer: (d/dx)[tan(u)] =
csc(u)·u'
sec2(u)·u'
-csc2(u)·u'
sec(u)·u'
13
Choose the correct answer: ∫cos(x)
dx
sec(x) + C
-sin(x) + C
cot2(x) + C
sin(x) + C
14
Choose the correct answer: (d/dx)[
vu
] =
uv' + vu'
uv' - vu'
u'v'
(uv') / (vu')
15
The first derivative of a function provides information about the _______ of that function.
concavity
acceleration
slope
speed
16
Choose the correct answer: ∫sin(x)
dx
cos(x) + C
cos2(x) + C
-cos(x) + C
sin(x)cos(x) + C
17
Choose the correct answer: ∫(1/x)
dx
2x-2 + C
ln∣x∣ + C
x<span style="font-size: 13.3333330154419px;">n+1 + C</span>
x-2 + C
18
Choose the correct answer: ∫
e
x
dx
ex + C
xex + C
xex
ex
19
Choose the correct answer: (d/dx)[
e
u
] =
eu·u'
ueu
ueu·u'
eu + C
20
Choose the correct answer: ∫a
x
dx
2x-2 + C
xln(a) + C
ax / ln(a) + C
aln∣x∣ + C
21
Choose the correct answer.
-7/27
7/27
-25/27
25/27
22
Choose the correct answer: (d/dx)[sec(u)] =
sec(u)tan(u)·u'
sec(u)cot(u)·u'
-csc(u)cot(u)·u'
-csc(u)tan(u)·u'
23
To find velocity from position, you must...
integrate twice
integrate once
find the 2nd derivative
find the 1st derivative
24
Choose the correct answer: ∫csc
2
(x)
dx
sec(x) + C
-cot2(x) + C
sin(x) + C
-cot(x) + C
25
The second derivative of a function provides information about the _______ of that function.
concavity
slope
acceleration
speed
26
Choose the correct answer: (d/dx)[
ln(u)
] =
ueu·u'
(1/u)∙ln(u)·u'
(1/u)·u'
ln(u)·u'
27
Choose the correct answer.
-1 < x < 3
All values of x
-3 < x < 1
x < -1 and x > 3
28
Choose the correct answer.
6x2sin(x3)cos(x3)
-6x2sin(x3)
6x2cos(x3)
-6x2sin(x3)cos(x3)
29
Choose the correct answer: ∫sec(x)tan(x)
dx
cot2(x) + C
sec2(x) + C
tan(x) + C
sec(x) + C
30
Choose the correct answer: ∫csc(x)cot(x)
dx
cot(x) + C
-csc(x) + C
-cot2(x) + C
sec(x) + C
31
Choose the correct answer.
y -1= -2(x - π/4)
y = -2(x - π/4)
y-1 = 2(x - π/4)
y = 2(x - π/4)
32
To find position from acceleration, you must...
integrate twice
find the 2nd derivative
find the 1st derivative
integrate once
33
Choose the correct answer.
e(-t/2) + C
2e(t/2) + C
e(t/2) + C
e-t + C
34
Choose the correct answer.
2
4
36
6
35
Choose the correct answer: (d/dx)[
u/v
] =
(uv') / (vu')
uv' - vu'
(vu' - uv')/(v2)
uv' + vu'
36
Choose the correct answer: (d/dx)[cos(u)] =
-sin(u)·u'
cos2(u)·u'
csc(u)·u'
sin(u)·u'
37
For all related rates problems, you must derive each term with respect to
volume
area
time
x
