1007Test3_09

1007Test3_09 - , find F ' ( ). 2 Question 4. [2.5] Find f x...

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Test 3, Wednesday March 4, 2009 MATH 1007G Last Name :_________________ First Name:_______________ ID #:____________________ Total marks:36 Total time: 50 minutes No Calculators are allowed. Show your work. Question 1. Differentiate the following functions. (DO NOT simplify your results) a) [3] f x x x ( ) tan = - 2 b) [3] f x x x x ( ) ( ) / = + 3 2 3 2 c) [3.5] f x x x x e x ( ) ( )(cos ) = + - 3 Question 2. [3] At which point on the curve y e x x = + - 1 4 5 , is the tangent line parallel to the line y x - + = 7 2 0 ? Question 3. [2.5] Given that F x f g x ( ) ( ( )) = , g g f f ( ) , ( ) , ( ) , ( ) , ' ' 2 1 2 3 2 2 2 3 = = = = f f f ( ) , ( ) , ( ) ' 2 1 1 5 1 7 = = =
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Unformatted text preview: , find F ' ( ). 2 Question 4. [2.5] Find f x '' ( ) , when f x x x x ( ) = + +-2 3 3 4 5 4 Test 3, Wednesday March 4, 2009 MATH 1007G Question 5. Differentiate the following functions. a) [2.5] f x x ( ) ( ) = + 1 1 4 3 b) [3.5] ) (sin tan ) ( 2 x x f = c) [3] f x x ( ) arcsin( ) = -1 d) [1.5] f x x ( ) log = 7 e) [1.5] f x x ( ) = 5 6. [3.5] Differentiate f x x x ( ) cos ( ) = + 1 (Use logarithmic differentiation) 7. [3] Use implicit differentiation to find dy dx when xy y 2 3 + = cos ....
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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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1007Test3_09 - , find F ' ( ). 2 Question 4. [2.5] Find f x...

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