March 23rd, 2009, 11:49 PM  #1 
Newbie Joined: Sep 2007 Posts: 17 Thanks: 0  Give this one a shot??
Suppose f is an odd function and is differentiable everywhere. Prove that for every positive number b, there exists a number c in (b,b) such that f '(c) = f(b)/b Where do you even begin? 
March 24th, 2009, 07:08 AM  #2  
Senior Member Joined: Mar 2009 Posts: 318 Thanks: 0  Quote:
The Mean Value Theorem tells you that, for this sort of function, there must be some value c on the interval (b, b) such that: [color=white]. . . . .[/color] Plug the result of f being odd into the above, and simplify.  

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