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AP Calculus AB Review Flashcards | StudBud
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AP Calculus AB Review
AP Calculus AB Review
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AP Calculus AB Review #calculus #math #ap #derivatives #integrals
Flashcards
35 cards
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Practice quiz
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Questions
35
Answers
1
To find velocity from position, you must...
find the 2nd derivative
find the 1st derivative
integrate once
integrate twice
2
What method is used to find volume?
Pascal's method
Newton's method
disk or washer method
L'Hopital's method
3
True or false: You should bring a pencil and a pen.
False
True
4
Choose the correct answer.
6x2sin(x3)cos(x3)
6x2cos(x3)
-6x2sin(x3)cos(x3)
-6x2sin(x3)
5
Choose the correct answer: (d/dx)[cos(u)] =
cos2(u)·u'
sin(u)·u'
-sin(u)·u'
csc(u)·u'
6
Where is our AP test located?
Library
Room 412
The cafeteria
D4
7
Choose the correct answer: (d/dx)[
u/v
] =
uv' + vu'
(uv') / (vu')
uv' - vu'
(vu' - uv')/(v2)
8
The first derivative of a function provides information about the _______ of that function.
acceleration
concavity
speed
slope
9
Choose the correct answer: (d/dx)[sin(u)] =
tan(u)·u'
cos(u)·u'
-cos(u)·u'
csc(u)·u'
10
Choose the correct answer: (d/dx)[sec(u)] =
sec(u)cot(u)·u'
-csc(u)tan(u)·u'
sec(u)tan(u)·u'
-csc(u)cot(u)·u'
11
Choose the correct answer: (d/dx)[cot(u)] =
-csc2(u)·u'
-csc(u)tan(u)·u'
sec(u)tan(u)·u'
sec2(u)·u'
12
Pictured below are Mrs. Gorrin's kids. What are their names?
Charlotte and Ryan
Bailey and Max
Olivia and Noah
McKenzie and Ben
13
Do you feel ready for this test?
I'm not taking the AP test.
Not sure, but I'm going to try my best!
No way.
Heck yeah!
14
What does the EVT guarantee that a function has?
an absolute max and absolute min
slope = 0
average rate of change = instant rate of change
style
15
Choose the correct answer: ∫(1/x)
dx
2x-2 + C
ln∣x∣ + C
-1x-2 + C
x-2 + C
16
True or false: For the best results, you should pull an all-nighter studying/cramming on Sunday night.
False
True
17
Choose the correct answer: (d/dx)[
vu
] =
(uv') / (vu')
uv' + vu'
uv' - vu'
u'v'
18
The graph of f(x) has a point of inflection when the graph of f'(x) has a(n)...
x-intercept
decreasing interval
relative max/min
y-intercept
19
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'
20
For all related rates problems, you must derive each term with respect to
volume
area
x
time
21
Choose the correct answer: (d/dx)[
ln(u)
] =
(1/u)∙ln(u)·u'
ln(u)·u'
u'/u
ueu·u'
22
To find position from acceleration, you must...
integrate once
find the 2nd derivative
integrate twice
find the 1st derivative
23
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
24
Which option below is NOT one of the 3 parts of the definition of continuity?
the slope must = 0
f(a) must be defined
the limit from the left = the limit from the right
f(a) = the limit
25
Choose the correct answer.
e(-t/2) + C
e(t/2) + C
e-t + C
2e(t/2) + C
26
Choose the correct answer: (d/dx)[
e
u
] =
eu·u'
ueu
eu + C
ueu·u'
27
Choose the correct answer: ∫
e
x
dx
xex
ex
ex + C
xex + C
28
Find the lim
x→0
(
sin
x
/ 2x)
1/2
-2
0
-1
29
How do you find the area between two functions of x?
∫(top - bottom)dx
∫(bottom - top)dx
π(top + bottom)
top - bottom
30
True or false: You should skip breakfast on Monday since our test is so early!
True
False
31
Choose the correct answer. You may use your calculator!
2
6
4
36
32
The second derivative of a function provides information about the _______ of that function.
slope
concavity
acceleration
speed
33
Choose the correct answer. You may use your calculator!
32/3
14/3
28/3
16/3
34
Choose the correct answer: (d/dx)[tan(u)] =
sec(u)·u'
csc(u)·u'
sec2(u)·u'
-csc2(u)·u'
35
What time do you need to arrive for the exam?
7:45 AM
7:30 AM
11:30 AM
8:00 AM
