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MEAN VALUE THEOREM (MVT) for derivatives (KristaKingMath)

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Published on Aug 2, 2015

► My Applications of Derivatives course: https://www.kristakingmath.com/applic...

In order to show that a function satisfies the mean value theorem on a particular interval, we'll use the mean value theorem formula. In order to use the formula, we have to know first that the function is both continuous and differentiable on the interval. If the function meets these two conditions, then we can apply the mean value theorem formula.

In order to find the value of c where the function has its mean value in the interval, we have to find the value of the function at the interval's endpoints. We'll also find the derivative of the function at the point c.

Once we have all of this, we'll plug everything into the mean value theorem formula, and that'll allow us to solve for the value of c that corresponds to the mean value of the function in the interval.

● ● ● GET EXTRA HELP ● ● ●

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● ● ● CONNECT WITH KRISTA ● ● ●

Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d 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. I’d think, “WHY didn’t 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, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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