ECO201_Lecture_ 9 14 June 2009

# ECO201_Lecture_ 9 14 June 2009 - nature of an instantaneous...

This preview shows pages 1–5. Sign up to view the full content.

ECO201 Section 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Comparative Statics Qualitative analysis Quantitative analysis Rate of change For example, consider the case of Mr. Mamun. He drives from Uttora to Gulshan 1. Average change Marginal change
Measuring Rate of Change- ( 29 ( 29 x x f x x f x x y y x y Quotient Difference the So x x f y changes x Since x x when x f y and x x when x f y f or f x x f y well as change will y x x x e i x to changes value initial x x f y - + = - - = - + = = = = = = + = + = + = = - = = ) ( ) ( ; ) ( ) ( 9 2 5 ) 2 ( 0 5 ) 0 ( , 5 ) ( . , . . 0 0 0 1 0 1 0 1 1 1 1 0 0 0 2 2 0 1 1 0

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
The Derivative: Frequently, we want to know the change in the dependent variable when there is a small change in the independent variable, i.e. ‘change in x ( x)’ is very small. In such a case the x tends to zero, i.e. x is close to zero but not actually zero. The derivative is a derived function of the primitive function; the rate measured by the derivative is in the
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: nature of an instantaneous rate of change. x x x y x x x x f y x x f y x x f y + = - + = + =-= =-= = 3 6 4 ) ( 3 ) ( 4 ) ( 3 ) ( 4 3 ) ( 2 1 2 2 6 ) 3 6 ( lim lim . , 6 , . 6 x x x x y x as x x y ly Symbolical x approaches quotient difference the zero approaches x If x x = + = Some points- The derivative if exists, is a derived function. It measures instantaneous rate of change Denoted by x y x f dx dy x lim ) ( Graphically.the slope of a curve is the derivative. Left hand side limit and right hand side limit....
View Full Document

## This note was uploaded on 04/24/2011 for the course ECON 201 taught by Professor Takrimasyeda during the Fall '08 term at BRAC University.

### Page1 / 5

ECO201_Lecture_ 9 14 June 2009 - nature of an instantaneous...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online