My Math Forum Verifying 3 Hypotheses of Rolle's Theorem

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 January 7th, 2017, 07:59 AM #1 Newbie   Joined: Jan 2017 From: Texas Posts: 1 Thanks: 0 Verifying 3 Hypotheses of Rolle's Theorem Need help on this problem- Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f(x) = cos2x, [pi/8, 7pi/8]
 January 7th, 2017, 08:16 AM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,097 Thanks: 972 start by stating the three hypotheses of Rolle's Theorem (a special case of the MVT) ...
 January 7th, 2017, 01:37 PM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 2,210 Thanks: 555 Okay, what are those "three hypotheses"? What, precisely, does "Rolle's theorem say? Thanks from ProofOfALifetime
 January 13th, 2017, 11:51 PM #4 Newbie   Joined: Jan 2017 From: Nigeria Posts: 5 Thanks: 0 Math Focus: Real Analysis and Fluid Mechanics This is the Mean Value Theorem analytic proof, it will help you figure out 3 hypothesis of the Rolles Theorem, since the Mean Value Theorem is connected to the Rolles Theorem https://mymathware.blogspot.nl/2017/...proof.html?m=1
 January 13th, 2017, 11:53 PM #5 Newbie   Joined: Jan 2017 From: Nigeria Posts: 5 Thanks: 0 Math Focus: Real Analysis and Fluid Mechanics Rolle's theorem essentially states that any real-valued differentiable function that attains equal values at two distinct points must have a stationary or critical point somewhere between them—that is, a point where the first derivative (the slope of the tangent line) is equal to zero. https://mymathware.blogspot.nl/2017/...eorem.html?m=1
 January 14th, 2017, 04:42 AM #6 Math Team   Joined: Jan 2015 From: Alabama Posts: 2,210 Thanks: 555 So, again, what are the "three hypotheses"? Thanks from skeeter

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