Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy

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Sal finds the number that satisfies the Mean value theorem for f(x)=x_-6x+8 over the interval [2,5]. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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Wow thank you so much this really helps! my teacher just flys through problems as if we already know what to do and it really confuses me so thank you so much for putting explanations and details in your work :)

rachelv

Thank you. I watched a ton load of videos and only understood yours. Keep on making tutorial videos.

sarathsimon

This one works out well, because you can find a generalization by applying the theorem with a, b, and c plugged in and you get that c=½(b+a)

jadegrace

This cleared up a ton of confusion way better than asking my teacher.

anthonylabarbera

If university was like this I'd actually learn something

Jakes_psyche

I tried solving this with the quadratic formula and arrived at the two results: 3-(2)^(1/2) and 3-2^(1/2). Did I just make a mistake calculating or is it not allowed to use the quadratic formula here?

nanashipersonne

What do u mean exactly by secant line??

mutheuatsiaya

why didn't he solve for C ?
Can someone clear this to me please.. Isn't it supposed to be that 3.5=2C-6 and solve for C? Why didn't he do this step?

saraalazhari

Lewis Donna Lewis George Brown Kimberly

AliEkerci-pb

Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy

Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy

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