Midterm 2 Fall 2011 - Math 110.106 Calculus I(Bio and Soc...

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Math 110.106 Calculus I (Bio. and Soc. Sci.) Second Midterm November 9, 2011 N AME : SOLUTIONS TA: S ECTION N UMBER : 1. Do not open this exam until you are told to begin. 2. This exam has 6 pages including this cover. There are 5 questions. 3. One of the skills being tested on this exam is your ability to interpret questions, so instructors will not answer questions about exam problems during the exam. 4. Show an appropriate amount of work for each exercise so that the graders can see not only the answer but also how you obtained it. Include units in your answers where appropriate. 5. Please turn off all cell phones and pagers and remove all headphones. P ROBLEM P OINTS S CORE 1 10 2 8 3 10 4 12 5 10 T OTAL 50 Instructor: Jos´e Manuel G´omez Johns Hopkins University
2 1. (10 Points) Find the following quantities. (a) (3 Points) Find the derivative of f ( x ) = x + 1 x .
(b) (3 Points) Find the derivative of g ( x ) = x 2 cos( x ) .

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