Week9extra

Week9extra - ECON 117 Mathematical Economics Spring 2008...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ECON 117 Spring 2008 Mathematical Economics III. Mathematical Programming 1. Maximization and Minimization without Constraint 1.1 One variable case: : f \\ ( f is continuous and continuously differentiable) Q) Find all local max points and a global max point. Def) () f x has a local max at 0 x iff 00 ( ) ( ) small 0 fx fx h h >+∀ f x has a global max at 0 x iff ( ) ( 0 h Page 1 of 3
Background image of page 1

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

View Full Document Right Arrow Icon
ECON 117 Spring 2008 Mathematical Economics Theorem) By Taylor’s expansion of () f x at 0 x up to the order, we have th n () 2 00 0 0 0 ( ) 1! 2! ! n n n fx f x f xf x x x x x x x R n ′′ =+ + + + + " Then, between R x and 0 x such that (1 ) 1 0 ) ! n n n fR Rx n + x + =− + Theorem) f x has a local max at
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

Week9extra - ECON 117 Mathematical Economics Spring 2008...

This preview shows document pages 1 - 3. Sign up to view the full document.

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