ECO201_Lecture_ 9 14 June 2009

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

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ECO201 Section 1
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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
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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
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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
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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....
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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.

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

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