# Shared Flashcard Set

## Details

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

Term
 Piece-Wise- Does the limit exist?
Definition
 Evaluate at left + RightIf L=R, limit exists
Term
 Piece-Wise- Continuous at X=c?
Definition
 Evaluate function @ x=cIf f(c)= lim as x approaches c, continous
Term
 Piece-Wise- Differentiable at x=c?
Definition
 Evaluate from Left and Right of CIf 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)=0If 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 DNEEvaluate 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 changeFind f’(x)Set f’(x)= rate of changeSolve for X, x=c
Term
 Rate of change equation
Definition
 f(b)-f(a)---------- b-a
Term
 Position Equation
Definition
 s(t)= -16t2+Vot+SoVo= 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-----bxnIf m=n, limit= a/bIf mIf m>n, limit DNE
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