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
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
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
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)
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 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
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)
11 terms
AP Calculus Formulas
Average Value Thm
Trapezoid Rule
Derivative of ln(u)
Derivative of ln(x)
Average Value Thm
Trapezoid Rule
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
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
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 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
20 terms
AP Calculus BC Formulas
Mean Value Theorem
Derivative of sinx
Derivative of cosx
Derivative of tanx
If f(x) is continuous on interval [a,b] and *differentiable…
cosx
-sinx
sec^2x
Mean Value Theorem
If f(x) is continuous on interval [a,b] and *differentiable…
Derivative of sinx
cosx
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
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
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
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
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
34 terms
Ap calculus trig formulas
S cos xdx
S sin xdx
S tan xdx
S cot xdx
Sinx+c
-cosx+c
Ln|secx|+c -ln|cosx|+c
Ln|sinx|+c -ln|cscx|+c
S cos xdx
Sinx+c
S sin xdx
-cosx+c
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
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
19 terms
Formulas in AP Calculus
What is the formula for perimeter of a…
What is the formula for area of a rect…
What is the formula for perimeter of a…
What is the formula for area of a square
P=2L+2W
A=LW
P=4S
What is the formula for perimeter of a…
P=2L+2W
What is the formula for area of a rect…
A=LW
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
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')
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
AP Calculus AB Formulas
Definition of Derivative
Alternate Definition of Derivative
Volume using Disks
Volume using Washers
Definition of Derivative
Alternate Definition of Derivative
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
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
38 terms
AP Calculus Formulas
∫ cosx
∫ sinx
∫ sec^2x
∫ secxtanx
sinx+c
-cosx+c
tanx+c
secx+c
∫ cosx
sinx+c
∫ sinx
-cosx+c
5 terms
AP Calculus Formulas
Alternative Form of the Derivative Def…
Linearization/Approximation
∆y=
Newton's Method
f ' (c) = f(x) - f(c)/x-c
f(x+∆x)≈ f(x)+f '(x) dx
m(x₁-x)... or... f(x+∆x)-f(x)
x- (f(x)/f '(x))
Alternative Form of the Derivative Def…
f ' (c) = f(x) - f(c)/x-c
Linearization/Approximation
f(x+∆x)≈ f(x)+f '(x) dx
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
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'
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'
AP Calculus Shape Formulas
Volume of Sphere
Volume of Cone
Volume of Cylinder
Volume of Rectangular Prism
(4/3)π(r^3)
π(r^2)(h/3)
π(r^2)(h)
(L)(w)(h)
Volume of Sphere
(4/3)π(r^3)
Volume of Cone
π(r^2)(h/3)
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)
10 terms
AP calculus terms and formulas
Cosx
(Sec^2)x
Secxtanx
-sinx
D/dx of sinx
D/dx of tanx
D/dx of secx
D/dx of cosx
Cosx
D/dx of sinx
(Sec^2)x
D/dx of tanx
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
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
38 terms
AP Calculus Formulas
D Sinx
D f(x)g(x)
D e^x
D x^n
cosx
f(x)g'(x)+f'(x)g(x)
e^x
nx^(n-1)
D Sinx
cosx
D f(x)g(x)
f(x)g'(x)+f'(x)g(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
26 terms
AP Calculus Formulas
du/u
Cos u du
Sin u du
Tan u du
Ln |u| + c
Sin u + c
-cos u + c
Ln |sec u| + c
du/u
Ln |u| + c
Cos u du
Sin u + c
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
1 of 10