Lecture4b5

Lecture4b5 - a ia e e d ic ed id ea h icha eb h ced ied...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: a ia e e d ic ed id ea h icha eb h ced ied aace : F a h f c i f ( x ) a age i e h ec ea a i ( x , f ( x )) cab ed e edbc id e ig h eeca i e j i ig ( x , f ( x ) a ec d i ( x 1 , f ( x 1 )) ad e ig x 1 x h e e fh iage i e id e ed b e f prime ( x ) eca a eh iage i ea a a i a i f ( x ) f a e f x ea x F a e f n + 1 i ih e id ia d ea ia fd eg ee n cab e fd h icha eh gha fh e e4 ea a ea d75 icc ed aE g ih aa edB k a ha h ee id ea c db ec b i ed :if eha e i e i ha ha e h e i e a ig ia if ea h e a ege? F i i a eh ec ec ib e ee h e id ea c id ea f c i f : x f ( x ) a h e i x = x x 1 = x + x , ih y = f ( x ) y 1 = f ( x 1 ) = f ( x + x ) h ee F a dD iee ceF ag i e f ( x ) y + ( x- x ) x y = f ( x ) + ( x- x ) bracketleftbigg f ( x + x )- f ( x ) x bracketrightbigg i ce y = y 1- y = f ( x + x )- f ( x ) ek ha a x f ( x + x )- f ( x ) x f prime ( x ) eca eeha ak ig h e i e a ig ia f i ada ig h e i ege i e d ceh ed e ia i fh e i ea age i e a i a i : f ( x ) f ( x ) + f prime ( x )( x- x ) . h eea d ic e : ecadeac h ea eh ig ih a h ee i i ead f :e x = x x 1 = x + x x 2 = x + 2 x ih y = f ( x ) y 1 = f ( x 1 ) = f ( x + x ) y 2 = f ( x 2 ) = f ( x + 2 x ) . h ee F a dD iee ceF ag i e f ( x ) y + ( x- x ) y x + ( x- x )( x- x 1 ) 2 2 y ( x ) 2 . ha ha e a x ?e ek ha y x f prime ( x ) ha d e i i f f prime ( x ) a a ed ha 2 y ( x ) 2 f primeprime ( x ) ! ihh ia i ea i ea h ee e i f ( x ) f ( x ) + ( x- x ) f prime ( x ) + ( x- x ) 2 2 f primeprime ( x ) iceha x ea ha x 1 x ad e e ed ha b ea i h ee ha ha e ed ic...
View Full Document

Page1 / 5

Lecture4b5 - a ia e e d ic ed id ea h icha eb h ced ied...

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