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AP Calculus BC
Flashcards that cover the information, formulas, equations, theories, and methods which need to be memorized for the AP Calculus BC exam.
27
Mathematics
12th Grade
05/02/2012
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Additional Mathematics Flashcards

 

 

Cards

Term

Derivative of:

 

xn

 Definition
nxn-1
Term

Derivative of:

 

sin(x)

 Definition
cos(x)
Term

Derivative of:

 

cos(x)

 Definition
-sin(x)
Term

Derivative of: 

 

tan(x)

 Definition
sec2(x)
Term

Derivative of:

 

cot(x)

 Definition
-csc2(x)
Term

Derivative of:

 

sec(x)

 Definition
sec(x)tan(x)
Term

Derivative of: 

 

csc(x)

 Definition
-csc(x)cot(x)
Term

Derivative of:

 

ln(u)

 Definition
(1/u)*(du/dx)
Term

Derivative of:

 

eu

 Definition
eu * (du/dx)
Term

Derivative of:

 

sin-1(u/a)

 Definition

1 * (du/dx)

     sqrt(a2 - u2) [image]

 
Term

Derivative of:

 

cos-1(x)

 Definition

-1

sqrt(1 - x2)

 

 
Term

Derivative of:

 

tan-1(u/a)

 

 Definition

a * (du/dx)

a2 + u2

 
Term

Derivative of:

 

cot-1(x)

 Definition

-1

1 + x2

 
Term

Derivative of:

 

sec-1(u/a)

 Definition

a * (du/dx)

|u| sqrt(u2 - a2)

 
Term

Derivative of: 

 

csc-1(x)

 Definition

-1

|x| sqrt(x2 - 1)

 
Term

Derivative of:

 

au(x)

 Definition
au(x) * ln(a) * (du/dx)
Term

Derivative of:

 

logax

 Definition

1

x ln(a)

 
Term

Quotient Rule:

 

Derivative of: (u/v)

 Definition

(du/dx)v - u(dv/dx)

v2

 
Term

Product Rule:

 

Derivative of: uv

 Definition
u'v + v'u
Term
Trapezoidal Rule
 Definition
(1/2) * (b-a)/n * [f(x0) + 2f(x1) + ... + 2f(xn-1) + f(xn)]
Term
Integration by Parts
 Definition
∫udv = uv - ∫vdu
Term
sin(2x) = ?
 Definition
2sin(x)cos(x)
Term
cos(2x) = ?
 Definition
cos2(x) - sin2(x) = 1 - 2sin2(x)
Term
cos2(x) = ?
 Definition
(1/2) * (1 + cos(2x))
Term
sin2(x) = ?
 Definition
(1/2) * (1 - cos(2x))
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