Math16A - Gu MT2 Solutions Fall 08

Math16A - Gu MT2 Solutions Fall 08 - Prof Ming Gu 861 Evans...

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Unformatted text preview: Prof. Ming Gu, 861 Evans, tel: 2-3145 Email: [email protected] http://www.math.berkeley.edu/ ∼ mgu/MA16A Math16A Sample Midterm II Solutions, Fall 2009 This is a closed book, closed notes exam. You need to justify every one of your answers unless you are asked not to do so. Completely correct answers given without justification will receive little credit. Look over the whole exam to find problems that you can do quickly. You need not simplify your answers unless you are specifically asked to do so. Hand in this exam before you leave. Problem Maximum Score Your Score 1 20 2 20 3 20 4 20 5 10 6 10 Total 100 Your Name & SID: Your Section & GSI: Math16A Sample Midterm II Solutions, Fall 2009 2 1. Determine the derivatives of the following functions (a) f ( x ) = x 2- 1 x 2 + 1 . Solution: f ( x ) = 4 x ( x 2 +1) 2 . (b) f ( x ) = x 2 + 1 √ x 2- 1. Solution: f ( x ) = x (3 x 2- 1) √ x 2- 1 . Math16A Sample Midterm II Solutions, Fall 2009 3 2. Determine the derivatives dy dx of the following functions at the given points...
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This note was uploaded on 05/12/2010 for the course CHEM 3A taught by Professor Fretchet during the Fall '08 term at Berkeley.

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Math16A - Gu MT2 Solutions Fall 08 - Prof Ming Gu 861 Evans...

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