Math121SampleQuiz2Sols

Math121SampleQuiz2Sols - QUIZ #2 (SAMPLE QUESTIONS) PART 1...

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QUIZ #2 (SAMPLE QUESTIONS) PART 1 (NO CALCULATORS!) 1) Let fx x x () = + 4 1 2 . Find ¢ . Simplify your answer. (6 points) ¢ () = -◊() = + - ◊+ + = + () - + = +- + = - + ( xD x x D x x xx x x x Lo D Hi Hi D Lo the square of what© s below Quotient Rule 22 2 2 2 2 2 2 2 144 1 1 14 4 2 1 44 8 1 1 2 2 x x ) 2 Note 1: Factoring the numerator does not lead to further simplification in this case. Note 2: You could have rewritten as 41 2 1 + - and then used the Product and Generalized Power Rules. However, the simplification would have been trickier. 2) Let fx x x () ( ) =+ 6 4 31 . Find ¢ . Simplify your answer. Do not expand out powers; for example, don't work out 4 x + . (6 points) First, use the Product Rule. ¢ [] + = È Î Í Í ˘ ˚ ˙ ˙ + ( fx x D x Dx x x x x 6 4 6 4 6 3 5 4 43 1 3 6 3 1 Use the Generalized Power Rule. tail Note: 3 is the tail, because it is + . 12 4 { 12 3 1 6 ) ++ 3 5 4 63 1
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3) Let yx = 3 . Find dy dx x 2 2 8 = . (9 points) In other words, find ¢¢ () f 8 , where yf x x = () = 3 . x x y dy dx fx x y dx x x x or or or or or ()=- =- - - 13 23 2 2 53 3 5 1 3 2 9 2 9 2 9 / / / / f 8 2 98 2 92 2 932 1 916 3 5 5 1 144 4) Let Cx
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This note was uploaded on 09/08/2011 for the course MATH 121 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math121SampleQuiz2Sols - QUIZ #2 (SAMPLE QUESTIONS) PART 1...

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