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2009 AP Calculus 1st semester
Your math facts, so far
42
Mathematics
12th Grade
11/04/2009
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Term
sin(π/6)
 Definition
√3
2
Term
cos(π/4)
 Definition
√(2)/2
Term
sin(-π/3)
 Definition
-√(3)/2
Term
tan x
 Definition
(sin x)/(cos x)
Term
ln e6
 Definition
6
Term
2log27
 Definition
7
Term
The derviative of csc x
 Definition
-cscxcotx
Term

The limit as x approaches 0 of

(sin x)/x

Definition
1
Term
The Pythagorean Identity
 Definition
sin2x + cos2x = 1
Term
The derivative of cot x
 Definition
-csc2x
Term
The derivative of ax
 Definition
axlna
Term
The derivative of f/g
 Definition
(gf'-fg')/g2
Term
sin (2π/3)
 Definition
√(3)/2
Term
The derivative of f(g(x))
 Definition
f'(g(x))g'(x)
Term

The limit as x approaches ∞ of

1/x

Definition
0
Term
cot(π/4)
 Definition
1
Term
the derivative of tan x
 Definition
sec2x
Term
cos(a + b)
 Definition
cosacosb - sinasinb
Term
The derivative of cos x
 Definition
-sin x
Term
tan(5π/2)
 Definition
undefined
Term
Intermediate Value Theorem
 Definition
If f(x) is continuous on the closed interval [a,b], then for any k between f(a) and f(b), there exists c between a and b, such that f(c)=k.
Term
sin(7π/4)
 Definition
-√(2)/2
Term
The derivative of ln x
 Definition
1/x
Term
Limit Definition of the derivative
 Definition

The limit as h approaches 0 of

(f(x+h)-f(x))/h

Term
ln 1
 Definition
0
Term
sin(a + b)
 Definition
sinacosb + cosasinb
Term
cos (0)
 Definition
1
Term
The derivative of sec x
 Definition
secxtanx
Term
tanπ
 Definition
0
Term

The limit as x approaches 0 of

1/x

Definition
Does not exist.
Term
cos(π/2)
 Definition
0
Term
The derivative of fg
 Definition
f'g+fg'
Term
The derivative of ex
 Definition
ex
Term
logba represents...
 Definition
the exponent needed to raise b to get a.
Term
log232
 Definition
5
Term
log(1/100)
 Definition
-2
Term
cos(a+b)
 Definition
cosacosb-sinasinb
Term
sin(2a)
 Definition
2sinacosa
Term
cos(2a)
 Definition
cos2a - sin2a
Term
the limit of (1/x) as x approaches infinity
 Definition
Term
sin(pi/2-x)
 Definition
cos x
Term
cos(pi/2-x)
 Definition
sin x
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