mt2 - MID TERM #2, MATH 100 Wednesday, November 13, 2002...

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MID TERM #2, MATH 100 Wednesday, November 13, 2002 Student No: Name (Print): There are 5 pages to this test, check to make sure it is complete. Please put your name and student number at the top of every page. Rough work should be done on the backs of the pages, and your answers put in the boxes (if provided). You must show all your work to get full marks. Calculators and notes of any kind are not allowed. 1. [6 marks] (a) Find the derivative of f ( x )=arcs in( x ) . Do not simplify. (b) Find f 0 ( x ) f ( x ) if f ( x )=( ln x ) x and simplify. (c) Find f 0 ( x ) for f ( x ) = arctan ± x - 1 x +1 ² and simplify. Please do not write in this space. Number Value Grade Question 1 6 Question 2 8 Question 3 12 Question 4 12 Question 5 12 Total
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Student No: Name (Print): 2. [8 marks] Let f ( x ) be the function f ( x )= x (ln x ) 2 ,x> 0 . (a) Find all x where f 0 ( x )=0 . (b) Find all x where f 00 ( x )=0 . (c) Find all intervals where
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mt2 - MID TERM #2, MATH 100 Wednesday, November 13, 2002...

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