4-1 - mm m LECTURE I3 secnom 3.6 IMPLICIT DIFFERENTMTIW...

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Unformatted text preview: mm m LECTURE I3 secnom 3.6 IMPLICIT DIFFERENTMTIW nomanom : comma .1 3 I. X -)’ = 3 WW y: 3 x"-3 z 1. a. x +y =1 wrm y:j/t-x'; 3 a 3. x +y = 3x7 war» g y as GWEN IflPUCITLY , as GIWEXPMCITLV as a FUNC'um or x as n wmcrmv 01’ x 3 N01E 111111 :r's Easy To apnpurr y' DIREcny Freon y : {x53 : .L 5-. I O y’ :- (txt-333) 3“ 3‘08'3) 3131) —L '5 t 30"3) an? ano Nance 17:31 you can GET y’ many mm x7: y3: 3 BY Rscnknme y as sans "ommoown " FUNCTION 0F x , mrFsksmmms 8077:! 6:053 am 03:»: we ammo RULE 3 ’ cx"- y3) = (3)' we") ’— cy'J' = 0 4x .. 3y .-. a (CHAINRVLE ! D 4% #0 THE " y ram-ms HERE ascnusa we HHUEN‘T :50va x‘.,3 = 3 m: y. .1. IF we DID sows FDR y were car y : exis)’ mun, sussnrunms THIS, THE Two nmswERS PM y ’ wow-D BE THE Sfiflfi . sonETmES Haw»; rue y m: we sxmemw Fan y’ as a 0000 mum : EXHI'IPLE : FIND THE SLoPE OF THE mmsewr Luvs Tb 7H6 cmuE x1+yt a l m an aRBtarRy Pomr (4,5) (warn b #0 ) more : Dowr KNow cavemen (4,5) :5 on) me mp mm: Ly affir- >012 1115 Barton mam Ly: 'W). 2. 3 Fumy'ns we ow FOR x~y :3: I (XIV-y”) ‘3 U, LX‘J's‘cy‘J’ = 0 ax +3yy' = 0 X y, : - 7 (Yio) runs, ms $1.»: 31 (4.!» as 5:. b y’cmb) = ‘ rms PROCEDURE Fox pmomg y ’ :s even not: usmu. mus» IT'S SIflPl-y (DPOSSIBLE 79 301.05 M y EXPLICITLY, 3.6., FDR x3 +y3 = 3X)! cx3+y3)’= (370/), LX3J’Hy3)’ = 30‘)”, 3x2 +3y‘y’ "' 3 (xY'H’u‘V) 33 HS" = XY'W ytyl_xy’ : y-Xt l_ I .x‘ (Y my " 7 ; 1.2.5... y, a DORE EXRUPLES : y, me 6mm op x3+y3 =- 3x)! :5 ammo me Fouun 35 0550917755 nun LOOKS Lane 11115 : Y (31.5%) n u (n Fawn .s A Le»; mo vx Descakflss ‘5 sons FRENcu GUY) s .9. ms SLaPE a; we m~ae~r LINE 137 ( 5* . a. ) as .143)" Y"%% ) = " " («w-l;— 3-D co} .2. FIND y’ IF y :5 GWEN :nPLIaTLy M X‘: "-‘z" l+cscy (x1)l=( co}! )’ Hcscy a. : c"mync-csc‘y>y'2-<e»+y><<.csc «mm X (Hcscy)" ax base; -csc’y + cscycof 2y )y ’ ( H cscyf' & -CSC)' (cscy +c$czy~cof'y)y’ x : ( Hcscy)‘ I ‘7'" ’ 6c“), (‘5‘ y + U Renensss; (,H csay)‘ csgy.‘d:7=, 1x - (- CSCy)y’ H cscy 5" y”-——-—————-——-ax“+csc7) = -4x(swy +1) 1 any 3. FIND y" IF x3+y3 =1 , 1 ‘ z ‘ $0 ’ x1. I y (ax) xtuzy) cy') ...
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This note was uploaded on 04/07/2008 for the course MATH 121 taught by Professor Multipleprofs during the Fall '07 term at Drexel.

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4-1 - mm m LECTURE I3 secnom 3.6 IMPLICIT DIFFERENTMTIW...

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