Other
Mathematics 1 Formula Sheet
- Course
- Institution
Formulas for Maths 1. Tilburg University.
[Show more]
Seller
Follow
CardinM
Reviews received
Content preview
Formula sheet Mathematics 1 for IBAQuadratic functions
√
- ABC-formula:
D Discriminant:
y(x) does not have a zero point.
y(x) only has one zero point.
y(x) is a dalparabool.
y(x) is a bergparabool.
Properties of power functions
NB p & q are both integer numbers
1.
2.
3.
4.
5.
6.
7. √
Properties of exponential functions
1.
2.
3.
4.
5.
6.
Properties of logarithmic functions
1.
2.
3.
4.
5.
6.
7.
8.
9.
Difference quotient
,Derivative
With :
List of elementary functions derivative
1.
2.
3.
4.
5.
Rules for calculating complex derivatives
- Product rule
-Quotient rule
-Chain rule
Functions with one variable
( ) ( )
Functions with two variables
1. ( ) ( )
2. ( ) ( )
Differential
- Functions with one variable
For close to 0, we can say that
Differential:
Application of property differential:
- Functions with two variables
Only a change in x:
, Only a change in y:
Change in both x and y:
Where:
, is the total differential (
Marginality
“How much does y change if x increases with 1 unit?”
- Functions with one variable
, at
Thus:
- Functions with two variables
A change in x:
A change in y:
Elasticity
“How much does y increases in percentages for each percentage increase of x?”
- Functions with one variable
And:
- Functions with two variables
( )
( )
Marginal rate of substitution
“How much can x increase and y decrease such that z(x,y) does not change?”
Derivative of the inverse function
The slope of the tangent line at the level curve of U(x,y) in (x,y)=(p,q):
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller CardinM. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.25. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
64438 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now