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Unformatted text preview: Fall 2007 ARE211 Problem Set #09 First Calculus Problem Set Due date: Nov 13 Please note: There are parts of one question in this assignment to which you may want to reply: “I beg your pardon?” or something possibly ruder than this. That kind of response is entirely appropriate, but you should add a sentence explaining why you are led to make such a remark. (1) Consider the function f ( x ) = 20 x 3- 120 x 2- 5 x + 36 a) What is the derivative of this function? b) What is the derivative of this function evaluated at x = 4? c) What is the differential of this function at x = 4? d) Approximate the change in the function when moving from x = 4 to x 1 = 5. e) What is the actual change in the function when moving from x = 4 to x 1 = 5? (2) Multivariate calculus drill: Simon and Blume, question 14.1, parts (a), (d) and (f); (3) Gradients: Simon and Blume, question 14.19 (4) More differential approximations: Simon and Blume, question 14.4....
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This note was uploaded on 08/01/2008 for the course ARE 211 taught by Professor Simon during the Fall '07 term at Berkeley.
- Fall '07