stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Calculus Formulas for AP Flashcards | StudBud
Explore
/
Calculus Formulas for AP
Calculus Formulas for AP
65 terms
·
StudBud Administration
·
5 plays
AP Calculus Formulas to Know & Understand
Flashcards
65 cards
F
Practice quiz
P
Host live
L
Questions
65
Answers
1
Integrate:
arctan(u/a) + C
(1/a)arcsec(|u|/a) + C
arcsec(u/a) + C
(1/a)arctan(u/a) + C
2
The following formula is used to represent the _________________.
total distance traveled
displacement
maximum velocity
average value
3
The following formula is used to represent the _________________.
total distance traveled
average value
maximum velocity
displacement
4
Find the derivative:
nx
nxn-1
(n-1)xn-1
nxn
5
Find the derivative:
-u'/(1+u2)
-u'/√(1-u2)
u'/√(1-u2)
u'/(1+u2)
6
Find the derivative:
-u'/[|u|√(u2+1)]
-u'/[|u|√(u2-1)]
u'/[|u|√(u2+1)]
u'/[|u|√(u2-1)]
7
When finding the acceleration, your units might be ____________.
ft
ft2/sec
ft/sec2
ft/sec
8
True or False:
False
True
I don't know
Sometimes
9
Find the derivative:
x∙ax-1
ax∙lna
ax-1
ax
10
Find the derivative:
u'/[|u|√(u2+1)]
-u'/[|u|√(u2+1)]
u'/[|u|√(u2-1)]
-u'/[|u|√(u2-1)]
11
Complete:
minimum
concavity
maximum
slope
12
The following formula represents the...
Volume using Washers
Area using Washers
Area using Disks
Volume using Disks
13
Integrate:
-sinu + C
sinu + C
cosu + C
-cosu + C
14
Integrate:
1/lna + C
au/lna + C
lna/au + C
au + C
15
Integrate:
xn+1/(n+1) + C
xn/(n+1) + C
nxn-1 + C
xn+1/n + C
16
Integrate:
-cosu + C
cos2x + C
-sinu + C
cosu + C
17
Find the derivative:
u'/(1+u2)
-u'/(1+u2)
-u'/√(1+u2)
-u'/√(1-u2)
18
Complete:
concave up
concave down
GUARANTEED maximum or minimum
POSSIBLE maximum or minimum
19
Find the derivative:
x/(lna)
1/(xlna)
1/(lna)
ax∙lna
20
Integrate:
cscu + C
tanu + C
-cscu + C
secu + C
21
Complete:
horizontal asymptotoe
0
vertical asymptote
hole
22
The following formulas are used to represent the _________________.
change in position
average acceleration
average time
average rate of change or average velocity
23
When finding the velocity, your units might be ____________.
ft2/sec
ft
ft/sec2
ft/sec
24
Find the derivative:
u'v+uv'
u'v-uv'
(uv)n-1
u'+v'
25
Find the derivative:
-sinx
-cscxcosx
sinx
sin2x
26
The following statement represents the _____________________________.
Mean Value Theorem
Definition of Derivative
Fundamental Theorem of Calculus
Definition of Integrals
27
Complete the following:
the particle is slowing down
the particle is stopped
the particle is speeding up
the particle is exiting the atmosphere
28
Integrate:
tanu + C
secu + C
-cscu + C
cscu + C
29
Find the derivative:
-cscxcotx
-cosx
-csc2x
-sec2x
30
Integrate:
ln|cosu| + C
ln|sinu| + C
-ln|cosu| + C
-ln|sinu| + C
31
Integrate:
ln|cscu+cotu| + C
ln|secu+tanu| + C
-ln|cscu+cotu| + C
-ln|secu+tanu| + C
32
Integrate:
cotu + C
-cotu + C
tanu + C
-tanu + C
33
Complete:
f(t)
x'
f(t)(x')
(x')f(x)
34
Complete:
concavity
minimum
slope
maximum
35
Find the derivative:
tan2x
secxtanx
sec2x
cscxtanx
36
Find the derivative:
sinx/cosx
secx
csc2x
sec2x
37
Find the derivative:
(u'v-v'u)/(v2)
(u'v+v'u)/(v2)
u'v+uv'
u'v-uv'
38
Find the derivative:
(x-1)ex
ex
ex-1
xex-1
39
Integrate:
ueu-1 + C
eu + C
eu/(u+1) + C
eu/u + C
40
Integrate:
ln|cosu| + C
-ln|sinu| + C
ln|sinu| + C
-ln|cosu| + C
41
Find the derivative:
-csc2x
-cscxcotx
secx
-sec2x
42
When finding the velocity, you are typically looking for v(t) or ______.
y'
y''
a(t)
y
43
Integrate:
tanu + C
2secutanu + C
cotu + C
2secu + C
44
Find the derivative:
f'(g'(x))
f(g'(x))
f'(g(x))∙g'(x)
f'(g(x))
45
Integrate:
arcsin(u/a) + C
(1/a)arcsec(|u|/a) + C
arctan(u/a) + C
(1/a)arctan(u/a) + C
46
Find the derivative:
-cosx
cos2x
cosx
-sinx
47
Integrate:
ln|secu+tanu| + C
ln|cscu+cotu| + C
-ln|cscu+cotu| + C
-ln|secu+tanu| + C
48
When finding the acceleration, you are typically looking for a(t) or ______.
y'
y
v(t)
y''
49
The following formula represents the...
Fundamental Theorem of Calculus
alternate definition of the derivative
definition of derivative
"easy" way to calculate a derivative
50
Find the derivative:
1/[f'(a)]
1/[f-1(f'(a))]
1/[f'(f-1(a))]
f'(a)
51
The following formula is used to represent the _________________.
displacement
total distance traveled
average value
maximum velocity
52
Find the derivative:
1/(lnx)
(lnx)/x
1/x
x'∙lnx
53
Integrate:
u-1 + C
ln|u| + C
eu + C
lnu + C
54
Complete:
POSSIBLE Point of Inflection
POSSIBLE maximum or minimum
GUARANTEED maximum or minimum
GUARANTEED Point of Inflection
55
The following formula represents the...
slope field
average value
definition of derivate
alternate definition of the derivative
56
The following formula represents the...
Volume using Washers
Volume using Disks
Area of Cross-Sections
Volume of Cross-Sections
57
Complete:
hole
0
vertical asymptote
horizontal asymptotoe
58
Complete:
velocity
|position|
position
|velocity|
59
The following formula represents the...
Volume using Disks
Area using Disks
Volume using Washers
Area using Washers
60
Integrate:
(1/a)arcsec(|u|/a) + C
arctan(u/a) + C
arcsin(u/a) + C
(1/a)arctan(u/a) + C
61
When finding the position, you are typically looking for s(t), x(t), or ______.
y''
y
v(t)
y'
62
Find the derivative:
u'/√(1-u2)
-u'/(1+u2)
u'/(1+u2)
u'/√(1+u2)
63
Complete the following:
the particle is exiting the atmosphere
the particle is speeding up
the particle is stopped
the particle is slowing down
64
When finding the position, your units might be ____________.
ft
ft/sec2
ft2/sec
ft/sec
65
Find the derivative:
-u'/(1+u2)
-u'/√(1-u2)
-u'/√(1+u2)
-u'/(1-u2)
