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Duplicate of AP Calculus AB Review
Duplicate of AP Calculus AB Review
30 terms
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AP Calculus AB Review
Flashcards
30 cards
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Practice quiz
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Questions
30
Answers
1
Choose the correct answer.
32/3
28/3
16/3
14/3
2
Choose the correct answer: ∫(1/x)
dx
ln∣x∣ + C
x<span style="font-size: 13.3333330154419px;">n+1 + C</span>
2x-2 + C
x-2 + C
3
Choose the correct answer: (d/dx)[sec(u)] =
-csc(u)cot(u)·u'
sec(u)cot(u)·u'
-csc(u)tan(u)·u'
sec(u)tan(u)·u'
4
Choose the correct answer: (d/dx)[
e
u
] =
eu·u'
ueu
eu + C
ueu·u'
5
Choose the correct answer: ∫
e
x
dx
ex
ex + C
xex + C
xex
6
Choose the correct answer: (d/dx)[cos(u)] =
sin(u)·u'
-sin(u)·u'
cos2(u)·u'
csc(u)·u'
7
Find the lim
x→0
(
sin
x
/ 2x)
-1
0
1/2
-2
8
Choose the correct answer.
6x2sin(x3)cos(x3)
6x2cos(x3)
-6x2sin(x3)
-6x2sin(x3)cos(x3)
9
Choose the correct answer.
-1
3
1
-3
10
To find velocity from position, you must...
find the 2nd derivative
find the 1st derivative
integrate once
integrate twice
11
To find position from acceleration, you must...
integrate once
integrate twice
find the 2nd derivative
find the 1st derivative
12
Choose the correct answer: (d/dx)[sin(u)] =
cos(u)·u'
tan(u)·u'
csc(u)·u'
-cos(u)·u'
13
The second derivative of a function provides information about the _______ of that function.
acceleration
speed
concavity
slope
14
Choose the correct answer.
y = 2(x - π/4)
y = -2(x - π/4)
y-1 = 2(x - π/4)
y -1= -2(x - π/4)
15
Choose the correct answer: (d/dx)[
u/v
] =
uv' + vu'
(uv') / (vu')
uv' - vu'
(vu' - uv')/(v2)
16
Choose the correct answer: ∫sec
2
(x)
dx
sin(x) + C
cot2(x) + C
sin(x)cos(x) + C
tan(x) + C
17
Choose the correct answer.
16π/3
32π/5
8π/3
4π/3
18
Choose the correct answer: (d/dx)[
vu
] =
uv' + vu'
u'v'
uv' - vu'
(uv') / (vu')
19
Choose the correct answer: ∫csc
2
(x)
dx
-cot(x) + C
-cot2(x) + C
sin(x) + C
sec(x) + C
20
Choose the correct answer: (d/dx)[
ln(u)
] =
(1/u)·u'
ueu·u'
(1/u)∙ln(u)·u'
ln(u)·u'
21
The first derivative of a function provides information about the _______ of that function.
speed
concavity
acceleration
slope
22
Choose the correct answer: ∫csc(x)cot(x)
dx
sec(x) + C
-cot2(x) + C
cot(x) + C
-csc(x) + C
23
Choose the correct answer.
2
36
4
6
24
How do you find the area between two functions of x?
∫(bottom - top)dx
π(top + bottom)
∫(top - bottom)dx
top - bottom
25
Choose the correct answer: (d/dx)[csc(u)] =
sec2(u)·u'
-csc(u)tan(u)·u'
csc(u)cot(u)·u'
-csc(u)cot(u)·u'
26
What does the mean value theorem state (for continuous, differentiable functions)?
Average slope < 0
average slope > 0
average slope ≠ instantaneous slope
average slope = instantaneous slope
27
Choose the correct answer.
7
4
6
2
28
Choose the correct answer: (d/dx)[cot(u)] =
sec(u)tan(u)·u'
-csc2(u)·u'
sec2(u)·u'
-csc(u)tan(u)·u'
29
Choose the correct answer.
8
13
14
11
30
Choose the correct answer.
e(t/2) + C
2e(t/2) + C
e(-t/2) + C
e-t + C