Mathematics 0110A/B Midterm: Midterm 2 Nov 11th 2011_ans.pdf

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B1. (a) f (x) = (6x + ex)(x3. X2 + ln x 1) + (3x2 + ex)(cid:18)3x2. E x) (ex + e x)2 (c) f (x) = 31+x2 (ln 3)(2x) (d) f (x) = 3(3 + e3x2. 3x ln 3 (1 + 3x) ln 2 (b) f (x) = 3 x ln 5 so f (x) = . 2 x dy dx y x2 ! = 3x2 dx dt (b) at t = 3 we have dx dt. 3 and x = 2 so dv dt.

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