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# Ex 3_6 - l ei t v't= 6rcfw_2 6y = d(8 rEatldalmctionofr...

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lei - tv't = 6r{2 6y' = v': We now apply the Quotient Rule to find I (8) rEatldalmctionofr when) + 0 solve for),a Flnd d./.ra in [email protected]! 15 18. ts.ott'+tt2= I 16. "- 2',G=trea ++dr 17.sin(/d) = i 18.cosr + coto = e'd In Exercises 19 26, ue implicit difierentiation lo find d)'/d{ and then d ,.=*(+)='f =?,i, Finally, we substitute )' = :r,, to exFess 1," in termsof.r and.v. whent + 0 .. ).x x'z /x':\ z. " ) =t yr\T)= y -;' ditrerentiatid to fird dr/dr itr Exercises 1-14 r1. - r): = " -.r,': 6' (3rr + 7)' = 6r ++..r'=6 2r,r+t:=r+f 2. 13 + 1,r = 1gt 10. a1 = col(ry) 12.t+sinl=4, t4, e"t = 2t + 2! 21.!2-e"+23 8.2\5=x-r 22,f-2t=l-2y 24,ry+t?=l

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25. If.r +r,r = 16 find thc ulue of,/rilr, at the point (2, 2). 26. tf\$ +_rr = t. find thc \"lue of,/rrt/dr: attheljoiir (0, l). In Excrcnes 27 and 28.find theslope ofrhe curle at uL€ arlen porns. 27. -r: + r: =rr tr ar { 2, l)lnd( 2. l) 28. (rr |,:l: = 1r rl: at (1.0)and(t, 1) In Ererciscs 19 i3. rerif! thlr thegilenlointis on lhecuNe and find lhe llne\ drat afc (a) ranse.r ud (b) nonnat to the curvc at ttre gnen 29. rr - rr r: = I (:.1) 30. rj - rr = 2s. fl. 4) ll. r, - 9. ( l..l) 12. rr lr 4r, I :0, ( 2.1) 3-1.6rr ' l\$* 2f2+ \t!
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Ex 3_6 - l ei t v't= 6rcfw_2 6y = d(8 rEatldalmctionofr...

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