Deprecated: preg_replace(): The /e modifier is deprecated, use preg_replace_callback instead in /homepages/31/d279254620/htdocs/clickandbuilds/smf/migrated279797140/Sources/Load.php(225) : runtime-created function on line 3
Rolle's Theorem
MathCS.org Forums
October 20, 2017, 10:28:35 AM *
Welcome, Guest. Please login or register.

Login with username, password and session length
News: SMF - Just Installed!
 
   Home   Help Search Login Register  
Pages: [1]
  Print  
Author Topic: Rolle's Theorem  (Read 6330 times)
deepnorth
Newbie
*
Posts: 11


View Profile
« on: August 14, 2009, 03:06:29 AM »

http://www.mathcs.org/analysis/reals/cont/proofs/rollethm.html

"Assume for now that f(c) # 0 is a maximum. Since f(a) = f(b) = c we know that c is in (a, b), and therefore f is differentiable at c. Note that f(x) f(c) since f(c) is a maximum. "

I think f(a)=f(b)=c  is a typo, it should be f(a)=f(b)=0.

But why c is in(a,b)  then we can get that f is differentiable at c? please explain.

Logged
Pages: [1]
  Print  
 
Jump to:  

Powered by MySQL Powered by PHP Powered by SMF 1.1.11 | SMF © 2006-2009, Simple Machines LLC Valid XHTML 1.0! Valid CSS!