Ws14 - WORKSHEET 14 Fall 1995 1 Reiview properties of logs(if necessary and then solve these for x a b c d e f g h i x = log4 2 log4 x = 5/2 1 3

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WORKSHEET 14 - Fall 1995 1. Reiview properties of logs (if necessary) and then solve these for x : a) x =log 4 2 b) log 4 x =5 / 2 c) log x 1 8 = 3 2 d) log 4 ( x 2) log 4 (2 x +3)=0 e) log 10 x +log 10 ( x 15) = 2 f) 3log x 4=2 g) log 2 x =log 4 5+3log 2 3 h) log x (1 x )=2 i) log 8 (log 4 (log 2 x )) = 0 2. Show that log a b = 1 log b a. 3. DiFerentiation formulae. a) Let f ( x )= xe x indafo rmu lafo r f ( n ) ( x ). b) Do the same for f ( x )= x 2 e x and f ( x )= x 3 e x . c) Let f ( x )= e x sin x indafo rmu lafo r f ( n ) ( x ). d) Let f ( x )= ue x where u is a function of x . ±ind a formula for f ( n ) ( x ) in terms of the derivatives of u . 4. ±ind the derivatives of each of the following. Simplify your answer as much as possible. a) y =s in( e x 2 + x 1 ) c) y = a x x a ,a > 0 a, constant b) y = 1+ e x d) y =2 (3 x ) . 5. a) Suppose that on some interval, the function f satis²es f 0
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This note was uploaded on 04/11/2011 for the course MATH 1400 taught by Professor Grether during the Spring '08 term at North Texas.

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