How to use ROLLES THEOREM KristaKingMath

My Applications of Derivatives course: Rolles theorem can be used to show that a function has a horizontal tangent line inside an interval. If you can show that a function is continuous over an interval differentiable over the same interval and that the function has the same value at the endpoints of the interval then you can use Rolles theorem. Without each of these three conditions being met Rolles theorem cannot be applied. If however you can show that these three conditions are all met then Rolles theorem proves that there is a horizontal tangent line somewhere in the interval. Remember a function has a horizontal tangent line wherever it changes direction from increasing to decreasing or vice versa. Therefore if you can prove the existence of a horizontal tangent line youve also proven the existence of a local extrema which means youve got a local maximum or a local minimum. GET EXTRA HELP If you could use some extra help with your math class then check out Kristas website CONNECT WITH KRISTA Hi Im Krista! I make math courses to keep you from banging your head against the wall. Math class was always so frustrating for me. Id go to a class spend hours on homework and three days later have an Ah-ha! moment about how the problems worked that could have slashed my homework time in half. Id think WHY didnt my teacher just tell me this in the first place?! So I started tutoring to keep other people out of the same aggravating time-sucking cycle. Since then Ive recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math studentfrom basic middle school classes to advanced college calculusfigure out whats going on understand the important concepts and pass their classes once and for all. Interested in getting help? Learn more here: FACEBOOK TWITTER INSTAGRAM PINTEREST GOOGLE QUORA ,

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