November 18th, 2010, 02:17 AM  #1 
Member Joined: Oct 2010 Posts: 43 Thanks: 0  NicePlease help
1. Let be a continuous function on and differentiable on for all . Prove that there exists so that 2. Find the least value of where a,b,c are real numbers satisfying and 
November 18th, 2010, 02:43 AM  #2 
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: NicePlease help
I'm really curious what does "<>" mean.

November 18th, 2010, 04:14 AM  #3  
Member Joined: Oct 2010 Posts: 43 Thanks: 0  Re: NicePlease help Quote:
<> is not =.  
November 18th, 2010, 05:07 AM  #4 
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: NicePlease help
As far as I know, I don't think there is such a function satisfied such conditions.

November 18th, 2010, 08:23 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 18,250 Thanks: 1439 
Why? The function f(x) = 1 satisfies them.

November 18th, 2010, 09:06 AM  #6  
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: Quote:
 
November 27th, 2010, 06:43 PM  #7 
Global Moderator Joined: Dec 2006 Posts: 18,250 Thanks: 1439 
That's a logical interpretation, but I'm not sure whether it's the intended interpretation. Perhaps TungLHang can clarify what was meant.

November 27th, 2010, 07:15 PM  #8  
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: Quote:
 

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