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Different Equations and Derivative Formulas
formulas to remember for difference equations and deriviatives
10
Mathematics
Undergraduate 1
09/16/2021
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Cards

Term
Basic Difference Equation (Recursive)
 Definition
[image]
Term
What to remember when graphing difference equations
 Definition
Don't connect any of the points on the graph
Term
Difference Equations formula when using compound interest
 Definition
[image]
Term
Difference Equations formula (not recursive)
 Definition

[image]

[image]
Term
How to find interest rate per period
 Definition
Yearly interest rate is r and is compounded k times a year, the interest rate per period is r/k
Term
How to graph difference equations
 Definition

1. Sketch the dashed line [image]

2. Plot [image]. If [image]then the graph is constant and the graphing process ends

 

3. If [image]write MONO, the graph is monotonic, meaning it is either always increasing or decreasing. If [image] write OSC the graph is oscillating

 

4. If [image]write ATTRACT/Asymptotic, the graph is attracted to the dashed line. If [image]write REPEL/Unbounded, the graph is repelled by the dashed line.
Term
Finding derivative using Limits
 Definition
[image]
Term
if f(x) = [image]
 Definition
[image]
Term
Continuity
 Definition
[image]if this is true then the function is continuous
Term
Differentiability
 Definition
[image]
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