CalcPrep
AP Calc AB
Library
Formulas
§ Formula sheet
The one page.
Every formula you actually use in AP Calc AB, grouped by unit. Tap any line to copy it.
Limits
3 entries
Squeeze
if
g
≤
f
≤
h
and
lim
g
=
lim
h
=
L
,
then
lim
f
=
L
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Trig
lim
x
→
0
x
s
i
n
(
x
)
=
1
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Trig
lim
x
→
0
x
1
−
c
o
s
x
=
0
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Differentiation rules
4 entries
Power
d
x
d
[
x
n
]
=
n
⋅
x
n
−
1
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Product
(
f
g
)
′
=
f
′
g
+
f
g
′
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Quotient
(
g
f
)
′
=
g
2
f
′
g
−
f
g
′
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Chain
[
f
(
g
(
x
))
]
′
=
f
′
(
g
(
x
))
⋅
g
′
(
x
)
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Common derivatives
5 entries
sin
d
x
d
[
sin
x
]
=
cos
x
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cos
d
x
d
[
cos
x
]
=
−
sin
x
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tan
d
x
d
[
tan
x
]
=
sec
2
x
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eˣ
d
x
d
[
e
x
]
=
e
x
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ln x
d
x
d
[
ln
x
]
=
x
1
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Integration & accumulation
5 entries
Power
∫
x
n
d
x
=
n
+
1
x
n
+
1
+
C
,
n
=
−
1
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1/x
∫
x
1
d
x
=
ln
∣
x
∣
+
C
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eˣ
∫
e
x
d
x
=
e
x
+
C
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sin/cos
∫
sin
x
d
x
=
−
cos
x
+
C
;
∫
cos
x
d
x
=
sin
x
+
C
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FTC
∫
a
b
f
(
x
)
d
x
=
F
(
b
)
−
F
(
a
)
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Applications of integration
4 entries
Avg value
f
ˉ
=
b
−
a
1
⋅
∫
a
b
f
(
x
)
d
x
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Area
A
=
∫
a
b
[
f
(
x
)
−
g
(
x
)]
d
x
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Disc volume
V
=
π
∫
a
b
R
(
x
)
2
d
x
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Washer
V
=
π
∫
a
b
[
R
2
−
r
2
]
d
x
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