Equations

Name Last modified Size Description Parent Directory 02-Jun-2011 03:07 – editdata.mso 18-Dec-2009 19:05 107k filelist.xml 18-Dec-2009 19:05 3k image001.png 18-Dec-2009 19:05 2k image002.gif 18-Dec-2009 19:05 3k image003.png 18-Dec-2009 19:05 3k image004.gif 18-Dec-2009 19:05 5k image005.png 18-Dec-2009 19:05 3k image006.gif 18-Dec-2009 19:05 5k image007.wmz 18-Dec-2009 19:05 4k image008.gif 18-Dec-2009 19:05 10k image009.wmz 18-Dec-2009 19:05 3k image010.gif […]

Name Last modified Size Description Parent Directory 02-Jun-2011 03:07 – editdata.mso 18-Dec-2009 19:03 107k filelist.xml 18-Dec-2009 19:03 3k image001.gif 18-Dec-2009 19:03 2k image002.wmz 18-Dec-2009 19:03 1k image003.gif 18-Dec-2009 19:03 1k image004.gif 18-Dec-2009 19:03 2k image005.wmz 18-Dec-2009 19:03 1k image006.gif 18-Dec-2009 19:03 1k image007.gif 18-Dec-2009 19:03 2k image008.wmz 18-Dec-2009 19:03 1k image009.gif 18-Dec-2009 19:03 1k image010.wmz […]

Name Last modified Size Description Parent Directory 02-Jun-2011 03:07 – editdata.mso 18-Dec-2009 19:02 107k filelist.xml 18-Dec-2009 19:02 2k image001.wmz 18-Dec-2009 19:02 5k image002.gif 18-Dec-2009 19:02 13k image003.gif 18-Dec-2009 19:02 3k image004.wmz 18-Dec-2009 19:02 1k image005.gif 18-Dec-2009 19:02 1k image006.wmz 18-Dec-2009 19:02 2k image007.gif 18-Dec-2009 19:02 4k image008.png 18-Dec-2009 19:02 3k image009.jpg 18-Dec-2009 19:02 7k image010.png […]

Name Last modified Size Description Parent Directory 09-Jan-2012 08:12 – 01_lim_and_continuity/ 12-Dec-2009 00:00 – 02_the_der/ 18-Dec-2009 16:38 – 03_rules_of_diffn/ 18-Dec-2009 16:42 – 04_more_on_the_der/ 18-Dec-2009 16:53 – 05_app_of_the_der_pa..> 18-Dec-2009 17:13 – 06_the_trig_func_and..> 02-Jun-2011 01:34 – 07_the_exp_and_log_f..> 23-Sep-2011 12:10 – 08_app_of_the_der_pa..> 18-Dec-2009 17:55 – 09_the_intgrl/ 07-Sep-2010 18:06 – 10_techniques_of_int..> 18-Dec-2009 18:37 – 11_more_on_the_intgrl/ 18-Dec-2009 19:01 – 12_app_of_the_intgrl/ […]

Calculus Of One Real Variable – By Pheng Kim Ving Chapter 7: The Exponential And Logarithmic Functions– Section 7.1: The Natural Logarithm Function 7.1 The Natural Logarithm Function Return To Contents Go To Problems & Solutions The Exponential And Logarithmic Functions Consider the relation 32 = 9. We see that: 3 = 2nd root (or […]

7.2 The Natural Exponential Function Return To Contents Go To Problems & Solutions The graph of the natural logarithm function y = ln x is shown in Fig. 1.1. It’s clear from the graph that ln is one-to-one. Let’s show it. Suppose ln x1 = ln x2. Then ln 1 = 0 = ln x1 […]