151 Exam II 07

151 Exam II 07 - MATH151 Mrs BonnyTighe EXAM II Part I...

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MATH 151 EXAM II Part I Nurn" Mrs. Bonny Tighe 50 points Section Fn rc126/07 1. Use the Limit Definition for a derivative ,' f(x+ h)- f (x) to find the derivatives h)0 h of the following: { r(l:J2-, b) g(x): x3 +2. 2. Use the position functions(r)=-sioI*"" +40 meters, and find the velocrty and acceleration fifimet= % sec.
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d 3 . Usethe given gaph of f(x) to sketch a graph of / ' (x) . 4. Find the equation of the a) g(i=sl at x=-l tangent line to the curve at the given point. b) ry=2x+2y at x=l
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5. Differentiate. e) "f(x) =7e3" -lnx)a ,\ ^/v\ - <srnrr D) /r(r; = 13115""(sin "f)) dl y =ta1-tp' *r,
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MArH 151 EXAM II Part II Name Mrs. Bonny Tighe 60 points Section Fi 10/26/07 1. Use Iogarithmicdifferentiation to find the derivative for each of the followins: a) f(x)=(cscx+2)h' b) s('):[ (x+21a./s'+ll ---;J, l 2. Find the following limits: sm.r - .r-+o si1{y b\ tin-! ^ = - r-+o 1- cosz / tan 3x a) rm- = x
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3. a) Find a general formula for b) Find the 95s derivative the n" derivatiVe, .f(') (*)., for the firnction .f(x) = sin3x 'l for the function f (x\ = ' (2x+t), 4. Find the derivative ofthe expression for an unspecified differentiable function f(x).
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