psCalculus1Qu - Fall 2007 Problem Set#09 First Calculus...

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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 0 = 4? c) What is the differential of this function at x 0 = 4? d) Approximate the change in the function when moving from x 0 = 4 to x 1 = 5. e) What is the actual change in the function when moving from x 0 = 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. (5) Still more differential approximations: Simon and Blume, question 14.8b.
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