This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: e x is C 1 and its derivative is e x . (g) Prove that e x is monotone from ( , ) to all of (0 , ) and so deFne an inverse function log( x ). (h) Using (f), prove that d dx log( x ) = 1 x . 1 2 HOMEWORK SET 7 DUE AT 1:00 PM ON MONDAY, NOVEMBER 14, 2005 (2) [20 points] Apostol, page 278, problems 3 and 9. Note : In these problems, T n ( f ( x )) denotes the Taylor approximation of order n about x = 0. (3) [10 points] Apostol, page 438, problems 5 and 10. (4) [20 points] Apostol, page 295, problems 1, 4, 8, and 11....
View Full
Document
 Fall '08
 Borodin,A
 Math

Click to edit the document details