December 28th, 2011, 05:37 AM  #1 
Newbie Joined: Dec 2011 Posts: 5 Thanks: 0  Mean Value Theorem
By using the Mean Value Theorem prove that the inequality ?¯¯1¯¯+¯¯x¯¯ < 1 + x/2 is valid for x > 0. anybody can solve this question pls 
December 28th, 2011, 10:28 AM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,767 Thanks: 5  Re: Mean Value Theorem
Try rewriting the equation using Latex, linked to below. And use the "preview" option after enclosing the code in [latex ] [ 
December 28th, 2011, 12:50 PM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond  Re: Mean Value Theorem
If f(x) = ?(1 + x)  1  x/2, f(0) = 0 and f'(x) is negative for all x > 0.

December 28th, 2011, 02:07 PM  #4 
Newbie Joined: Dec 2011 Posts: 5 Thanks: 0  Re: Mean Value Theorem ok thank you The Chadz i'm sorry about it but im new at this forum.i will be carefull after that 

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