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AP Calculus AB Review March Flashcards | StudBud
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AP Calculus AB Review March
AP Calculus AB Review March
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AP Calculus AB Review
Flashcards
42 cards
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Questions
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Answers
1
For all related rates problems, you must derive each term with respect to
x
volume
area
time
2
Choose the correct answer: (d/dx)[
e
u
] =
eu + C
eu·u'
ueu·u'
ueu
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: ∫
e
x
dx
xex
ex
ex + C
xex + C
5
Choose the correct answer: (d/dx)[tan(u)] =
sec(u)·u'
-csc2(u)·u'
sec2(u)·u'
csc(u)·u'
6
Choose the correct answer.
36
2
6
4
7
Choose the correct answer.
All values of x
-1 < x < 3
-3 < x < 1
x < -1 and x > 3
8
Choose the correct answer: ∫cos(x)
dx
sec(x) + C
-sin(x) + C
cot2(x) + C
sin(x) + C
9
Choose the correct answer: ∫sin(x)
dx
sin(x)cos(x) + C
-cos(x) + C
cos2(x) + C
cos(x) + C
10
Choose the correct answer: (d/dx)[csc(u)] =
csc(u)cot(u)·u'
sec2(u)·u'
-csc(u)tan(u)·u'
-csc(u)cot(u)·u'
11
The second derivative of a function provides information about the _______ of that function.
slope
concavity
acceleration
speed
12
Choose the correct answer: (d/dx)[
vu
] =
u'v'
(uv') / (vu')
uv' - vu'
uv' + vu'
13
Choose the correct answer.
e(t/2) + C
e-t + C
e(-t/2) + C
2e(t/2) + C
14
Choose the correct answer: ∫csc
2
(x)
dx
-cot(x) + C
sec(x) + C
sin(x) + C
-cot2(x) + C
15
Choose the correct answer: (d/dx)[cot(u)] =
sec2(u)·u'
sec(u)tan(u)·u'
-csc2(u)·u'
-csc(u)tan(u)·u'
16
Choose the correct answer.
-6x2sin(x3)
-6x2sin(x3)cos(x3)
6x2cos(x3)
6x2sin(x3)cos(x3)
17
What method is used to find volume?
L'Hopital's method
Pascal's method
Newton's method
washer or shell method
18
Choose the correct answer.
14/3
28/3
32/3
16/3
19
Choose the correct answer: (d/dx)[sec(u)] =
sec(u)tan(u)·u'
-csc(u)cot(u)·u'
-csc(u)tan(u)·u'
sec(u)cot(u)·u'
20
To find position from acceleration, you must...
integrate once
find the 1st derivative
find the 2nd derivative
integrate twice
21
Choose the correct answer: ∫sec(x)tan(x)
dx
cot2(x) + C
sec2(x) + C
sec(x) + C
tan(x) + C
22
The first derivative of a function provides information about the _______ of that function.
speed
concavity
slope
acceleration
23
To find velocity from position, you must...
find the 1st derivative
integrate twice
find the 2nd derivative
integrate once
24
Choose the correct answer: (d/dx)[sin(u)] =
cos(u)·u'
tan(u)·u'
-cos(u)·u'
csc(u)·u'
25
Choose the correct answer: (d/dx)[
a
u
] =
au·u'
au·ln(a)·u'
au·ln(u)·u'
ln(a)·u'
26
Choose the correct answer: ∫sec
2
(x)
dx
sin(x)cos(x) + C
tan(x) + C
cot2(x) + C
sin(x) + C
27
Find the lim
x→0
(
sin
x
/ 2x)
1/2
-2
0
-1
28
Choose the correct answer: (d/dx)[
u/v
] =
(vu' - uv')/(v2)
(uv') / (vu')
uv' - vu'
uv' + vu'
29
Choose the correct answer.
6
2
4
7
30
Choose the correct answer.
-7/27
-25/27
7/27
25/27
31
Choose the correct answer.
0
e-1
e+1
1
32
Choose the correct answer.
8
13
14
11
33
Choose the correct answer: (d/dx)[cos(u)] =
sin(u)·u'
-sin(u)·u'
csc(u)·u'
cos2(u)·u'
34
Choose the correct answer.
y = 2(x - π/4)
y -1= -2(x - π/4)
y = -2(x - π/4)
y-1 = 2(x - π/4)
35
Choose the correct answer: ∫(1/x)
dx
x-2 + C
ln∣x∣ + C
2x-2 + C
x<span style="font-size: 13.3333330154419px;">n+1 + C</span>
36
Choose the correct answer.
16π/3
8π/3
32π/5
4π/3
37
Choose the correct answer.
-1
-3
3
1
38
Choose the correct answer: ∫csc(x)cot(x)
dx
sec(x) + C
-csc(x) + C
-cot2(x) + C
cot(x) + C
39
How do you find the area between two functions of x?
top - bottom
π(top + bottom)
∫(bottom - top)dx
∫(top - bottom)dx
40
Choose the correct answer: ∫a
x
dx
ax / ln(a) + C
aln∣x∣ + C
xln(a) + C
2x-2 + C
41
Choose the correct answer: (d/dx)[
ln(u)
] =
(1/u)·u'
(1/u)∙ln(u)·u'
ln(u)·u'
ueu·u'
42
Choose the correct answer: (d/dx)[sec(u)] =
sec(u)cot(u)·u'
-csc(u)tan(u)·u'
-csc(u)cot(u)·u'
sec(u)tan(u)·u'
