221-3 1st and 2nd derivatives

221-3 1st and 2nd derivatives - x d a q ` d a q ` i` q d p...

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Unformatted text preview: x d a q ` d a q ` i` q d p B E D A T P E D 9 F A 9 ui 8 8 ` i !9 !9 d a q ` i d a E S ! ! y ! f ! x d a d a q ` ` i C C 9 D i` q u d aa ui ! ! S E ! F A 9 8 9 F 9 B a u D 8 A 9 ! D D E u ` ` ` a d p B E D A T P f a a f q ` d aa q ` i q ` u B 9 D8 E A 9 9 F 9 E A D EA B a EA 8 W E E ! P Ru q ! q a A 9 9 C C ! 8 6 )( &6 $ ! D E A A $34 2 1 E '( & D E 9 "# 8 I 9 B @9 P A C C DE 9 ! 8 9 9 8Q I P 8 I P F ! %$ S F 9 8 B ! DE ! F EA E !B V E ! S !9 A Y 9U UT E F F RA X 9 E B E Y E ! F ! 0) 9 ! EA 9 8 9 C A X E 9 C A 9 B E C C 9 C D8 D8 E DE 9 8A E 9 !9 E F F cD bP X A E E F !9 9 9 D B 8 DE A E9 9 DE F 9 B 8 8F A F D` T F` E X X W A ` f d ea F` a aa E EA ` A D S9 EA 9 B a cD bP F` P E E9 E A hS B X E X a R A 9 H 9 F F B F 8 9 EA E E 9 51 0 R R C 9 7 EA T P E g C 9 E r sp q d a p` i 9 H X ! v wp ut E p xt H X xt F p t F 9 sp v 8 q u B E d a p` a i a A y t R DE E R C F G 9G $ 7 E W H A ' A B E E W F 9 EA 9 T q a qu q p v sp ` qu d t p` a qu p` qu d d p f d a p` i d A E X B B 9 E9 E 9 @B9 A W d U SB A a E p` P i d S p u PuT P dS 9 A E F F 9 8 X T ! S ! B C D E9 9 BU 9 E @B9 9 G ! ! E ! F 9 B B EF Y@ E u a DE E y E F B d 8 E vp r p sp v d A A 8 sp r p d v sp A9 8 E9 X E9 p` d d d B t 9 F q p` F q ! a q Ap p` p 9 S a ` a EA p F Ap ! q U p E A q x C vwp qu a 8 F C T Pu df df 9 X dS E9 ! q S9 8U a f d d a d a q ` ` S ` u D cD i i b ! C S 9U B E EF D B 9 V 9 A 8 V ! D G ! E t E !B ! A a EB E A F A D8 9 9 9 9 C EA D 9 U T E 9 RF 9 B EA F 9 DE EA F 8 E C R E ! E ! F E X E a fT P T f` E E A a y 9 B B EF a A B a W F C F 9 G E ! D E A 9 9 B B F 9 P 8 8 8 E 9 9 F 9 ! F 9 P 8 Y A9 EF EF C E 9 S W X ! EF A9 9 C A X 9 E hS E 9 C C E B D8 8A E 9 !9 C E B 9 A 9 9 sp r q d a p` i 9 H X E ! 8 B a 9 X` DE C DE E !B C wp v ut E F F C xt E AU ! E 8 !9 p 9 9 C y t C p 9 B xt B EF wp v p A9 ut sp r q t sp v qu p q f d a d a d a p` p` p` i i i t d p A t 9 E 8 9 EF D8 9 8 A y 9 B B EF xt E B 9 @B9 A D8 A 9 A9 F E 9 9 C 9 DE 9 A F DE BU 8F R E E F q C R E E EF A 9 X E 8 A9 A9 9 U 9 8 YE H9 f d C W C B 9 F 9 9 ! 9 E 8 9 9 9 ! ! C E ! ! F ! S A ! F a ` i T A f a ` i a T ` f i a ` B E i f B E d a f ` d a i ` D i DR 8 9 UT A 9 8 9 B D E9 E9 ! 8 D A 9 D P 9A 8 F DS ` E X 9 C F EF D a u D A i f` A EF f` F d aa C 9 BU E f` E U T A # ! "p a d t d a a a a a a a a x C EF D R9 C d a p` i W E U A a p` i A 9 8 B W u C C ! q ` E ! q BU 9 C B 9 9 T f S d 9 p C B 9 E T a ` y a ` x D A E E F 9 F E 9 9 D8 E A B A 9 9 t p G F A d 9 f v p p p t q p wp v q 9 9 B B EF A9 wp v 9 q 8 p A9 EF 8 9 t ! C ! B E q ! R C W F C ! E E ! C T u E sp r S 9 t q EA q D E EF 9 9 D DS ` DE A f d a p` i f ! f a a f p ` f T p` a i a i a p` p` p` i i i q p F q a U 8F A 8 9 8 B E @B E DS ` D 8 X 9 D8 C a ! 9 E 8 9 DE S9 E X !9 F E A E u P y a f y E E F F F F E F T a dS a a u E S S E ! ! 9 B 9 ! C C C 9 9 9 S ! E H X BU ! H X p B ! ! dS C d EH C ! H ! q ` 9 H ! H C ! ! E ! F F T a q ` q ` E 9 ! y F ` E ! R E 9 C d p B 9 E F T q ! S ! ! u H f T P E E EH B BU 9 C T 9 f 9 T C E T u B 9 a H E E 9 9 dS B F q ` dS E a F E ! ! C ! H 9 ! F EH a ! P u C T H 9 C ! ! ! E ! F u B p d dS ! S E ! H H H 9 9 9 P 9 B T f dS f dS f q a a H ! ! S ! a a a ! a # a a a a u f q ` f dS q ` H EA 9 F E gT Pu H EA B 9 E 8 X F E g 9 f T !9 E EC9 9 p qu A F d a 8 i f 8F 9 V d a a ` i f` H EA H EA f q ` H 9 C ! H ! EA E ! ! p a d 9 d d a p` 8 B d d f f d a p q ` 9 F 9 9 F 9 9 ! F F S9 a a a u i E 9 8 a y a D D p D D p i a a g E a u a y a ...
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This note was uploaded on 03/27/2008 for the course MATH 211 taught by Professor Onlineresources during the Spring '06 term at University of Wisconsin.

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