tutorial 4sol

tutorial 4sol - MATH 1007- TUTORIAL 4 Please work in teams...

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MATH 1007- TUTORIAL 4 Please work in teams of 4. At the end of the tutorial every team hands in one set of solutions with everybody’s name and student number PRINTED and everybody’s signature. Do NOT divide up problems between you and work on them separately. Groups doing this will be marked in a tougher fashion. You and your group should work together on all problems sharing insights and difficulties as you progress. Your TA and instructor are here to help you- don’t be shy to ask questions! ******************************* 1. Differentiate the following functions. i) fx x x x x x x '( ) . ( ) ( ) =+ + −− −= + ++ 25 3 0 2 1 3 2 41 0 3 2 6 42 5 4 2 5 ii) xx x x x () ( ) // = + 3 53 2 56 55 ; x x '/ 2 25 6 16 iii) d dx x x x d dx x x ' .( ) . ( ) = + +− + ⎟ + + 1 2 1 1 2 1 1 22 = −+ + + + = − − + +−− + (( ) ) . ( ) . 1 2 111 1 2 2 1 1 2 1 2 112 1 2 x x x x = −− − + 1 2 1 2 1 x iv) ex e e e e x x ' ) ( ) = +− + = + 13 3 3 3 v) d dx x x d dx ' ( ) ( )(sin .tan ) ( ) (sin .tan ) + 2 2 xxxx d dx x d dx x sin tan ( sin ).tan sin .( tan ) + 2 2 x x x x x
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This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

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tutorial 4sol - MATH 1007- TUTORIAL 4 Please work in teams...

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