Key quiz 3 f'09

# Key quiz 3 f'09 - 30 points Quiz 3 Print n...

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Unformatted text preview: 30 points Quiz 3 Print n ame_-..--a---_--_- You may not use any materials on this quiz. You may not consult another person o r even discuss this quiz until it is turned i n for grade. Y ou m ust w ork t hrough t hese problems in one sitting. Your signature on the pledged line above certifies that you have complied with t he rules for taking this quiz. Date/time b egan date/time e nded _ 1. F ind t he derivatives o f the following. Simplify appropriately: ( 4 points each, 16 points) a. f (x) =tan - £ 2 - sec2 - £ +I F(x) - -1.sc:.c.* f l(X):: .. 4 S c:.C J)( / S o (.r ()() : 0 J t a.n 0- sec2 { X _ S<=c2..JX-inn rx '-K ::: - \ == 0 I . c ontinued ...... ( 4) d. \ =- 51 n (-to:n 3CYX1) t an'"l..(4 I -2. W ill t here b e horizontal tangent lines for t he following functions? I f so, give t he o rdered pairs; i fnot, e xplain c learly w hy not: (4 p oints e ach, 8 p oints) I :;: 0 w hexe ? x 2 - 3x a. y = x -I I lj = ( X -i) (:2.1< - 3) - z. -.:.;l X - 5 X + 3 :-)( + 3 X (X "-- 3 'X) ( () ( X-t)" ( X-I") S O\\le: X2.-;2.X+3-=? X= ; l J..I - l.1 ( 3) :::. (X_\j:2. -8 :J N So 0 ro:a.R h u .mber n o 2 0 i n +s v.:> hew-e. t h e.. \05 hoY'2.dV'\-to..Q. b. y =(x-4)%(x-l}U lj t ...l 2/ 3 = (X- 4"\ · t (X- () lj ,,: -+- (X-l..f)2/3 3CX-ll7-/3 + 3 ( X -Lf) '13 :J= I 3 x-tp 3 (X - \)'2f3( X-L() '1 3 X:: ex-\) · §: (X -ll ) 'loIs Y2-;) 4 -= (.2-Lfl J = (_2,2/3 • 1 - 1- \13 x- + -:l)< - :2- 3 ( X -11"/3 (x. -t()'13 3 (x-;)..) 1(-;..-l)'2./' ( X-l() '13 Y 3 3 ( :II W 3. Given: f (x) =J 1 2 5=x a) Use the definition o f derivative t o find the derivative. Show all steps clearly. I (4 points) \ -( - )'. - . 4s.Ole: ( . ====:..- '-.1;;l 5 - )<. -t-AX ) t:>X : 2S-C1;-t1:lX) ) hI ;1S-(){+t))() I) - )< .. U .:2S-)< 2S -iK - -+ 6 X y := L:::;)<. == 0 (J;;2S-X \ + I:>x; 0 , b) Use the definition to find the equation o f the n onnalline to x = 9. (2 points) . -=-- V t qJ::' I( - ----:1_:l . :ls-q 'S 0 s1 0 c=:. k \ 5 - \;2. g -- ...
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## This note was uploaded on 12/05/2011 for the course MATH 111 taught by Professor Bang during the Fall '08 term at Emory.

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Key quiz 3 f'09 - 30 points Quiz 3 Print n...

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