The Derivative

The Derivative - 135' 06mm)er —I—————__. 1:...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 135' 06mm)er —I—————__. 1: Par) 42,—. SLOPE 0F TDNGEWT st Ta 77:: ’ 693?» OF P :97 ch-‘m J = msmmmmsous 3012' OF CHfiNGE 0F P 81' X .-. hn Faun-p“, (PROWDED 17!: h.” '1 umr arms J th-b-—-'.~I-bhr - - -fi’ .- n.- -- —- -- - I- s..- nn—uphmn—uppuu—n :- a-p- nfimt-----n-—a—-—-.-q_,-- NEW STUFF : = THE DERIVETWE 9f P if x I = P ’0‘ J a- y I I cl ‘ 275' = 3%(hxa) exams: LET Put) = {13' FOR x =90. mam Huh-Put) . H“: [(37 '“b "6‘- m—‘w’h “a. [m h z (m h .2: I”? h bum bu” h,” (am. Hi? ‘ nub) -x ' = 1m = I"? 11-50 mm + fi” 5-» W“ "i ._ fiifi = cmwoso x #0) runs, . I I I .ch)=fl Fogxwo => Panaarx— Fora x>o THE P806835 0F Fmouua osmumwe; 0F vacnoms :5 cause DIFFERENTIBTIDN IF A .Fumcnom H65 .9 ne'mmnus 01' A mm W :5 m m 35 DIFFERENT: 381.5 87' mm POINT E.c., Pm = {x— :5 mmnemoma 31' may POINT no (rs 000mm EXCEPT X= O, GEODETRICBL 8505010: Y Y 3 p11): (X— venmm. Tandem cumosnuso SLOPE) o m " mama Exnrme: Fax) = m Is NOT DIFFERENTJHBLE m x=o r I ham-pm; In loud—lo: m = ' ’ h-ba h 5“” ' b 1M m x : lm T h-‘m name» was Nor EXiST 38:23:35 I h 7 a m ' h .' h¢0 mamas way For; DIFFEREID'NBBILIW To mg.- THEOREM: J‘F‘ Put) us DIFFERENMBLE :97 x5 ' THE” Fax) as cam-rmuous 8T x, (.50, m Pm :5 £91 commands gr x, , mm H,” Is 393 DIFFERENTMBLE 31' x, J 900-ch J I REASON : IF 1m x“ ‘ = Pug), mew xwxo o 1m {Pm—Pug!) = Im (M’)tx-Kn X-bxa Iago 1-1. m x-x, 2+! 14!, 6 .3 Mn) 0 = 0 80 uses, THEN, ME 711?- wnys w wmcll Pm can Fan. TO BE DIFFERENTMBLE n? x, : ' nose Exanpws : l. cow: 5% 1; “Fun: x‘ux-J d Faun-Pm: (ch‘umm-O- (x‘ux .1) 5-» 5+0 ' x‘ubehaxnh-l«aunt-H M 'I 'l” '1 5-90 A .. lm lm mum-“chum ’ IMO ’7 ham .1 FIND THE EQUQ'NON OF THE TfiNGENT LINE T0 THE 6MP” 0F )1: Fax) = x‘mx --l 37 THE Pam? (1,4 L o) POINT-SLOPE Faun: y a mu: .y .g 1 - 1 4 l SLOPE 0F TJBMGENT LIME AT (0,2 J 9'“) an) +1 (Prion EXBDPLE 1 ) L, Y-J a Hex-l) II II V = ‘Ix-J. ’- 3. mo 1715 mm on: m: MAP» M" y a fix) 3 x‘Mx -I 003335 THE “NOE”? LINE ‘3 HORIZONWL. macaw? we Homzomm. 4::- SLOPE OF TBNGENT Luv: 254» {.1} osmuamz ZERO ¢=> Pius-o 494:0 (FRODEXflflPl-El) HNS'NER : t-l,-_2) : I ‘1. WWW: gut) m gut): 3" : WNW-3d) at) = Ian 3 3 5-1-0 h “L... .L = 1m ‘5" l- " 5—90 h i J. : [In 3'37." t iii“) h-w h um) “ I”? t ‘ l .' " fl ...
View Full Document

This note was uploaded on 11/25/2011 for the course CALC 135 taught by Professor Ferry during the Fall '08 term at Rutgers.

Page1 / 5

The Derivative - 135' 06mm)er —I—————__. 1:...

This preview shows document pages 1 - 5. Sign up to view the full document.

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