Week2 - ECON 117 Mathematical Economics Spring 2008 Week 2...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
ECON 117 Spring 2008 Mathematical Economics Week 2 3.2 Differentiation of a Real Function Def) Real function : : f XY is a real function if Y \ Q) Draw the following real function: (1) 2 282 f xx =− + (2) 22 yx = + Def) Differentiation of a real function Page 1 of 10
Background image of page 1

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

View Full DocumentRight Arrow Icon
ECON 117 Spring 2008 Mathematical Economics Q) Find () f x of the following functions (1) () 3 f xx = (2) () 3 fx = Q) ( Addition Rule ) Show that if () yf xg x = + , then x ′′ = + . Q) Show that if , then 3 yx = 2 3 ′ = Page 2 of 10
Background image of page 2
ECON 117 Spring 2008 Mathematical Economics Q) ( Product Rule ) Show that if () () yf xg x = , then x g xf x g x ′′ = ⋅+⋅ Q) ( Chain Rule ) Show that if (() ) g x = , then ) () g x g x = Q) ( Quotient Rule ) Show that if () f x y gx = , then 2 [() ] f xgx fxgx y −⋅ ′ = Page 3 of 10
Background image of page 3

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

View Full DocumentRight Arrow Icon
ECON 117 Spring 2008 Mathematical Economics 3.3 Approximation of a Real Function Q) Find 00 () ( ) 0 f xf x x x +⋅ in the above diagram Page 4 of 10
Background image of page 4
ECON 117 Spring 2008 Mathematical Economics Q) Prove the Taylor’s expansion.
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/15/2008 for the course ECON 324 taught by Professor Kim during the Spring '08 term at HKUST.

Page1 / 10

Week2 - ECON 117 Mathematical Economics Spring 2008 Week 2...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online