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 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: 2,766 Thanks: 4 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: 7,923 Thanks: 1122 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 $By\: using\: the\: Mean\: Value\: Theore m\: prove\: the\: inequality\: \sqrt{1+x}% 3C 1+\frac{x}{2}\: is\: valid\: for\: x% 3E 0.$ 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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