mt1 - MID TERM #1, MATH 100 Wednesday, October 9, 2002...

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MID TERM #1, MATH 100 Wednesday, October 9, 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. You must show all your work to get full marks. Calculators and notes of any kind are not allowed. 1. [6 marks] Using only the definition of the derivative, and not the rules, find f 0 ( x ) for the function f ( x )= x 2 +1 . Please do not write in this space. Number Value Grade Question 1 6 Question 2 12 Question 3 8 Question 4 8 Question 5 6 Question 6 10 Total 50 1
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2 Student No: Name (Print): 2. [12 marks] Find the derivatives of the following functions. Put your answers in the boxes and show your work in the spaces provided. DO NOT SIMPLIFY YOUR ANSWERS. (a) f ( x )= ( sin 3 x +cos 3 x ) 2 . (b) f ( x q 1+ x + x 2 . (c) f ( x x 2 +1 x 2 - 1 . (d) f ( x )=( x 2 + x +1)( x 3 +1) .
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3 Student No: Name (Print): 3. [8 marks] (a) Determine lim θ 0 tan 2 θ θ . (b) Find the absolute maximum and minimum of the function f ( x )= x 2 + 1 x 2 on the interval 1 2 x 3 . (c) Find all x where the derivative of y =s in x +cos x is 0 . (d) Determine lim
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This note was uploaded on 01/12/2010 for the course STAT 100 taught by Professor Denissjerve during the Winter '06 term at San Jose State University .

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mt1 - MID TERM #1, MATH 100 Wednesday, October 9, 2002...

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