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AP Calculus - First Semester
First Semester
34
Mathematics
12th Grade
01/07/2009
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Term
The derivative of sin-1x
 Definition
1/√(1-x2)
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
The derivative of f(g(x))
 Definition
f'(g(x))g'(x)
Term

The limit as x approaches ∞ of

1/x

Definition
0
Term
the derivative of tan x
 Definition
sec2x
Term
cos(a + b)
 Definition
cosacosb - sinasinb
Term
The derivative of cos-1x
 Definition
-1/√(1-x2)
Term
The derivative of logbx
 Definition
1/(xlnb)
Term
The derivative of cos x
 Definition
-sin x
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
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
The derivative of fg
 Definition
f'g+fg'
Term
The derivative of ex
 Definition
ex
Term
The derivative of tan-1x
 Definition
1/(1+x2)
Term
sin-1x represents...
 Definition
the angle between -π/2 and π/2 inclusive whose sine is x.
Term
cos-1x represents...
 Definition
the angle between 0 and π inclusive whose cosine is x.
Term
tan-1x represents...
 Definition
the angle between -π/2 and π/2 whose tangent is x.
Term
logba represents...
 Definition
the exponent needed to raise b to get a.
Term
log232
 Definition
5
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