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AP Calculus 1st Semester Review
N/a
13
Engineering
12th Grade
01/09/2012

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Cards

Term
Piece-Wise- Does the limit exist?
Definition
Evaluate at left + Right
If L=R, limit exists
Term
Piece-Wise- Continuous at X=c?
Definition
Evaluate function @ x=c
If f(c)= lim as x approaches c, continous
Term
Piece-Wise- Differentiable at x=c?
Definition
Evaluate from Left and Right of C
If f(c) from L= f(c) from R, differentiable
Term
Where are polynomials differentiable?
Definition
Everywhere
Term
How to find Critical Numbers
Definition
Set f’(x)=0
If fraction, find zeros of denominator
Term
Where are polynomials continuous?
Definition
Everywhere
Term
How to find absolute extrema
Definition
Find f’(x)
set f’(x)=0, find critical numbers and DNE
Evaluate for CN and DNE in f(x)
Biggest f(x)= max, smallest f(x)=min
Term
How to use Mean Value Theorem
Definition
[CCDO]
Find rate of change
Find f’(x)
Set f’(x)= rate of change
Solve for X, x=c
Term
Rate of change equation
Definition
f(b)-f(a)
----------
b-a
Term
Position Equation
Definition
s(t)= -16t2+Vot+So
Vo= initial velocity
So= initial height
Term
Average Velocity Equation
Definition
S(b)-S(a)
------------
b-a
Term
Instantaneous Velocity Equation
Definition
v(t)= s’(t)
Term
Horizontal Asymptote (find limits)
Definition
Axm
-----
bxn
If m=n, limit= a/b
If mIf m>n, limit DNE
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