How can we help?

You can also find more resources in our Help Center.

Study sets matching "ap calculus formulas"

Study sets
Classes
Users

Study sets matching "ap calculus formulas"

65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
161 terms
AP Calculus Formulas
Volume of a Sphere
Surface Area of a Sphere
sin π
cos π
V = 4/3 π r³
S = 4 π r²
0
-1
Volume of a Sphere
V = 4/3 π r³
Surface Area of a Sphere
S = 4 π r²
64 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
AP Calculus Formulas
1
0
Squeeze Theorem
f is continuous at x=c if...
1
0
64 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
11 terms
AP Calculus Formulas
Average Value Thm
Trapezoid Rule
Derivative of ln(u)
Derivative of ln(x)
Average Value Thm
Trapezoid Rule
64 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
56 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
59 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
123 terms
AP Calculus Formulas
Continuity at a point (x = c)
Volume of a Sphere
Surface Area of a Sphere
Intermediate Value Theorem
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
V = 4/3 pi r³
S = 4 pi r²
If f(x) is continuous on a closed interval [a,b] and k is any…
Continuity at a point (x = c)
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
Volume of a Sphere
V = 4/3 pi r³
18 terms
AP Calculus AB Formulas
d/dx[sin(x)]
d/dx[cos(x)]
d/dx[tan(x)]
d/dx[sec(x)]
cos(x)
-sin(x)
sec^2(x)
sec(x)tan(x)
d/dx[sin(x)]
cos(x)
d/dx[cos(x)]
-sin(x)
54 terms
AP Calculus AB : Useful Formulas
limit of (sin(x)/x) as x approaches 0
limit of (1-cos(x)/x) as x approaches 0
Derivative of sin(x)
Derivative of cos(x)
1
0
cos(x)
-sin(x)
limit of (sin(x)/x) as x approaches 0
1
limit of (1-cos(x)/x) as x approaches 0
0
20 terms
AP Calculus Derivatives Formulas
Product Rule
Quotient Rule
Chain Rule
y=c
y'= fg' + gf'
y'= (f' g - g' f )/ g^2
y'= f'(g(x)) * g'(x)
y'=0
Product Rule
y'= fg' + gf'
Quotient Rule
y'= (f' g - g' f )/ g^2
26 terms
Kriegl AP Calculus Formula Sheet
f'(x)=
1
d/dx uv
d/dx u/v
uv'+vu'
f'(x)=
1
106 terms
AP Calculus Formulas
Volume of a Sphere
Surface Area of a Sphere
sin π
cos π
V = 4/3 π r³
S = 4 π r²
0
-1
Volume of a Sphere
V = 4/3 π r³
Surface Area of a Sphere
S = 4 π r²
68 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
51 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
120 terms
AP Calculus Formulas
Continuity at a point (x = c)
Volume of a Sphere
Surface Area of a Sphere
Intermediate Value Theorem
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
V = 4/3 pi r^3
S = 4 pi r^2
If f(x) is continuous on a closed interval [a,b] and k is any…
Continuity at a point (x = c)
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
Volume of a Sphere
V = 4/3 pi r^3
69 terms
AP Calculus Formulas
Definition of the Derivative
Alternate Definition of the Derivative
Volume using Disks
Volume using Washers
Definition of the Derivative
Alternate Definition of the Derivative
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
18 terms
AP Calculus Formulas
sin x
csc x
cos x... (Reciprocal Iden.)
sec x
1/csc(x)
1/sin(x)
1/sec x
1/cos x
sin x
1/csc(x)
csc x
1/sin(x)
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
16 terms
AP Calculus Basic Formulas
du/u
(cosu)du
(sinu)du
(tanu)du
ln|u|
sinu+C
-cosu+C
-ln|cosu|+C
du/u
ln|u|
(cosu)du
sinu+C
62 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
y
ft/sec
position
Definition of Derivative
Alternate Definition of Derivative
AP Calculus Formulas
d/dx (sin x)
d/dx (cos x)
d/dx (tan x)
d/dx (csc x)
cos x
-sin x
sec^2 x
-csc x cot x
d/dx (sin x)
cos x
d/dx (cos x)
-sin x
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
Basic Calculus AP Formulas
1 + tan²x =
1 + cot²x =
cos 2x =
cos α/2 =
sec²x
csc²x
cos²x - sin²x... 1 - 2sin²x ... 2cos²x -1
± √1+cosα/2
1 + tan²x =
sec²x
1 + cot²x =
csc²x
14 terms
AP Calculus Formulas
Mean Value Theorem
Rolle's Theorem
Intermediate Value Theorem
Fundamental Theorem of Calculus
If the function f is continuous on [a,b] and the first deriva…
If the function f is continuous on [a,b], the first derivativ…
If the function f is continuous on [a.b], then for any number…
∫f(x)dx= F(b)-F(a) where F'(x)= f(x)
Mean Value Theorem
If the function f is continuous on [a,b] and the first deriva…
Rolle's Theorem
If the function f is continuous on [a,b], the first derivativ…
14 terms
INTEGRATION FORMULAS AP CALCULUS
∫sin u
∫cos u
∫tan u
∫cot u
-cos u+C
sin u+C
-ln|cos u|+C
ln|sin u|+C
∫sin u
-cos u+C
∫cos u
sin u+C
30 terms
AP Calculus Formulas
Composition of Functions
General Equation for a Constant Function
General Equation for a Linear Function
General Equation for a Power Function
(f o g)(x) = f [g(x)]
y = 0
y = mx+b
y = xⁿ
Composition of Functions
(f o g)(x) = f [g(x)]
General Equation for a Constant Function
y = 0
19 terms
AP Calculus formulas and rules
Product rule: d/dx [f(x*g(x)]
d/dx [f(x)/g(x)]
Constant rule:
d/dx [x^n]
f(x)g'(x)+g(x)f'(x)
{g(x)f'(x)-f(x)g'(x)}/[g(x)]^2
d/dx [c]
nX^n-1
Product rule: d/dx [f(x*g(x)]
f(x)g'(x)+g(x)f'(x)
d/dx [f(x)/g(x)]
{g(x)f'(x)-f(x)g'(x)}/[g(x)]^2
22 terms
AP Calculus Derivative Formulas
Constant Rule: d/dx(c)
Constant Multiple Rule: d/dx(cu)
Sum/Difference Rule: d/dx(u+v)
Power Rule (Chain): d/dx(uⁿ)
0
cu'
u'+v'
nuⁿ⁻¹u'
Constant Rule: d/dx(c)
0
Constant Multiple Rule: d/dx(cu)
cu'
16 terms
AP CALCULUS Integration Formulas
∫dx =
∫kdx
∫x^n dx
∫ dx/x
x + C∫
kx + C
x^n+1/ n+1 +C
ln abs(x) + C
∫dx =
x + C∫
∫kdx
kx + C
93 terms
AP Calculus Formulas
Continuity at a point (x = c)
Volume of a Sphere
Surface Area of a Sphere
Intermediate Value Theorem
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
V = 4/3 pi r^3
S = 4 pi r^2
If f(x) is continuous on a closed interval [a,b] and k is any…
Continuity at a point (x = c)
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
Volume of a Sphere
V = 4/3 pi r^3
65 terms
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
27 terms
AP Calculus BC Formulas
Derivative of a polar function
Derivative of a parametric function
Disc formula
Second derivative of a parametric equa…
rcos(x)+r'sin(x)/r'cos(x)-rsin(x)
Y'/X'
π∫r²dr
1st derivative/X'
Derivative of a polar function
rcos(x)+r'sin(x)/r'cos(x)-rsin(x)
Derivative of a parametric function
Y'/X'
93 terms
AP Calculus Formulas
Continuity at a point (x = c)
Volume of a Sphere
Surface Area of a Sphere
Intermediate Value Theorem
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
V = 4/3 pi r^3
S = 4 pi r^2
If f(x) is continuous on a closed interval [a,b] and k is any…
Continuity at a point (x = c)
1. f(x) is defined at f(c)... 2. The limit as x approaches c of…
Volume of a Sphere
V = 4/3 pi r^3
9 terms
AP Calculus AB : Useful Formulas
Derivative of constant c
Derivative of e^u
Derivative of ln(u)
sin(2x)
0
(e^u)(u')
u'/u
2sin(x)cos(x)
Derivative of constant c
0
Derivative of e^u
(e^u)(u')
68 terms
Calculus BC AP Exam Formulas
Lagrange Remainder Formula
e^x as a maclaurin series
sin(x) as a maclaruin series
cos(x) as a maclaurin series
Lagrange Remainder Formula
e^x as a maclaurin series
17 terms
AP Calculus Formulas
cos(x)
-sin(x)
sec²(x)
-csc²(x)
derivative of sin(x)
derivative of cos(x)
derivative of tan(x)
derivative of cot(x)
cos(x)
derivative of sin(x)
-sin(x)
derivative of cos(x)
11 terms
AP Calculus AB Formulas
d/dx[c]
d/dx[x^n]
d/dx[f(x)g(x)]
d/dx[f(x)/g(x)]
0
nx^n-1
f(x)g'(x)+g(x)f'(x)
g(x)f'(x)-f(x)g'(x)/(g(x))^2
d/dx[c]
0
d/dx[x^n]
nx^n-1
13 terms
AP Calculus Formulas
sin x
cos x
tan x
cot x
cos x
-sin x
sec^2 x
-csc^2 x
sin x
cos x
cos x
-sin x
14 terms
AP Calculus Derivative Formulas
sec u
a^u
arc sec u
arc cot u
secu tanu•u'
lna•a^u•u'
u' / |u| [(u^2)-1]^1/2
- u' / 1+(u^2)
sec u
secu tanu•u'
a^u
lna•a^u•u'
20 terms
AP Calculus BC Formulas
Reciprocal Identities
Quotient Identities
Pythagorean Identities
Double Angle Identities
csc(x)=1/sin(x)... sec(x)=1/cos(x)... cot(x)=1/tan(x)
tan(x)=sin(x)/cos(x)... cot(x)=cos(x)/sin(x)
sin^2(x)+cos^2(x)=1... tan^2(x)+1=sec^2(x)... cot^2(x)+1=csc^2(x)
sin2(x)=2sin(x)xos(x)... tan2(x)=2tan(x)/1-tan^2(x)... cos2(x)=co…
Reciprocal Identities
csc(x)=1/sin(x)... sec(x)=1/cos(x)... cot(x)=1/tan(x)
Quotient Identities
tan(x)=sin(x)/cos(x)... cot(x)=cos(x)/sin(x)
61 terms
AP Calculus Formulas
Product Rule
SST... CCC
Continuity: For a function to be conti…
lim (1/x)... x->0
d/dx[f(x)g(x)]=f(x)g`(x)+g(x)f`(x)
sec->sec<-tan... csc->-csc<-cot
f(c) must exist... limf(x) must exist... x->c... limf(x)=f(c)... x->c
positive infinity
Product Rule
d/dx[f(x)g(x)]=f(x)g`(x)+g(x)f`(x)
SST... CCC
sec->sec<-tan... csc->-csc<-cot
30 terms
AP Calculus AB Formulas
cscx= 1/sinx
secx=1/cosx
cotx=1/tanx
tanx=sinx/cosx
cscx=1/sinx
secx=1/cosx
cotx=1/tanx
tanx=sinx/cosx
cscx= 1/sinx
cscx=1/sinx
secx=1/cosx
secx=1/cosx
1 of 10