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
|
|
Term
How to find Critical Numbers |
|
Definition
Set f’(x)=0 If fraction, find zeros of denominator |
|
|
Term
Where are polynomials continuous? |
|
Definition
|
|
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
|
Definition
|
|
Term
|
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
|
|
Term
Horizontal Asymptote (find limits) |
|
Definition
Axm ----- bxn If m=n, limit= a/b If mIf m>n, limit DNE |
|
|