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AP Calculus AB Review OLD Flashcards | StudBud
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AP Calculus AB Review OLD
AP Calculus AB Review OLD
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AP Calculus AB Review #calculus #math #ap #derivatives #integrals
Flashcards
24 cards
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Questions
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Answers
1
Find the lim
x→0
(sin
x
/ 3x)
-1
1/3
0
3
2
The first derivative of a function provides information about the _______ of that function.
inflection points
rate of change of slope
concavity
relative max and min
3
Choose the correct answer.
32/3
14/3
16/3
28/3
4
Choose the correct answer: d/dx(1/x)
ln∣x∣ + C
x -2
lnx + C
-x -2
5
Choose the correct answer: ∫
e
2x
dx
=
e2x + c
1/2e2x+ c
2e2x + c
1/2e2x
6
For all related rates problems, you must derive each term with respect to
area
time
volume
x
7
Find d/dx of 6cos
4
(3x
2
)
-144xcos3(3x2)sin(3x2)
-24cos3(3x2)
-24cos3(3x2)sin(3x2)
-144xsin3(3x2)
8
What method is used to find volume?
L'Hopital's method
washer or shell method
Fundamental Theorem of Calculus
Pascal's method
9
How do you find the area between two functions of x?
top - bottom
∫(top - bottom)dx
π(top + bottom)
∫(bottom - top)dx
10
Choose the correct answer: ∫sec(x)tan(x)
dx
sec(x) + C
cot2(x) + C
sec2(x) + C
tan(x) + C
11
Choose the correct answer.
8π/3
32π/5
4π/3
16π/3
12
Choose the correct answer: ∫cos(x)
dx
-sin(x) + C
sin(x)cos(x) + C
sin(x) + C
sin2(x) + C
13
Choose the correct answer.
x < -1 and x > 3
All values of x
-3 < x < 1
-1 < x < 3
14
Choose the correct answer.
-9/8
9/8
can't be done by hand
(1 - e6)/8
15
The graph of a(t) is shown & v(0) > 0. When is the object furthest from its starting position?
7
2
6
8
16
Choose the correct answer.
8
13
14
11
17
Choose the correct answer: ∫sec
2
(x)
dx
sin(x) + C
cot2(x) + C
tan(x) + C
sin(x)cos(x) + C
18
Choose the correct answer: (d/dx)[cos(u)] =
cos2(u)·u'
-sin(u)·u'
sin(u)·u'
csc(u)·u'
19
To find velocity from position, you must...
integrate once
find the 1st derivative
integrate twice
find the 2nd derivative
20
Choose the correct answer: ∫csc
2
(x)
dx
sin(x) + C
-cot(x) + C
-cot2(x) + C
sec(x) + C
21
To find acceleration from position, you must...
find the 1st derivative
integrate twice
integrate once
find the 2nd derivative
22
Choose the correct answer: ∫a
x
dx
ax / ln(a) + C
xln(a) + C
aln∣x∣ + C
2x-2 + C
23
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)
24
Choose the correct answer: ∫csc(x)cot(x)
dx
-csc(x) + C
cot(x) + C
sec(x) + C
-cot2(x) + C
