3.2b Rolle's Theorem and the Mean Value Theorem - Calculus

[danthemanisme95]

Starting to find all these Youtube math lessons better then my teachers'

[ColdeFox]

thank you so much!



[Ballintubas]

Wow... this kind of puts my calc teacher to shame. He rushed through this theorem and I've been confused since. Thanks for clearing it up :)

[fpsisfun]

thanks great explanation

[SamihCAA]

Wow, just Perfectly explained and made sence. My teacher is a good teacher but get TOO much into detail with this therefor gets me a bit lost.. I also was taught to find the slope by using f'(c) = f(b)-f(a) / b-a its a bit easier to understand, but then using y2-y1 / x2-x1 is pretty much the same thing.

[KidKlassic91]

you sound like you'd be a mean teacher but i learned rolles and MVT in less than 10 minutes ! thanks !!

[BCnumb7]

How would you derive (x-2)(x+3)^2? Pls help!

[cubbiefn]

@BCnumb7 product rule or multiply it all out and then derive it.

[PunjabRaj]

Amazing

[ndemeo55]

Using transcribe audio with this is hilariously awful

[saniyeleenatalie]

I got lost on the 3rd step. After pluged the interval numbers you got 0 and 1. Then you wrote (0,0) and (1,1). What are those?

Thank you for the video. Easy to understand, even though English is my second lanugage.

[rwcarmody09]

@saniyeleenatalie Those are the endpoints. 0 and 1 are just the x values. He plugged in those into f(x) and got 0 and 1 again.. (0,0) and (1,1) are the points on the graph.

[FurySwipes2hit]

Thanks your explanations are really good. And those are some awesome pens

[cutay51]

so many pretty colors lol



[RescuePits1]

Wow, great job!!! You knocked these out of the park on explaining them!!

[RobbWorld]

@RescuePits1

Thanks for the complement.

[ConstantineTheFallen]

@RobbWorld omg i got the same questions in my book like you had on here :D

thanks for the info :P

[theredmars]

good stuff man thanks for uploading

[RobbWorld]

@theredmars

No problem. I have videos for the whole year of calculus.

[Lott40]

i missed this day in class and just looking at notes does not help, but this example helped tremendously, thank you sincerely, i will be back

[RobbWorld]

@Lott40

Sounds good. I have the whole year worth of videos. My website might also help. WOWmath.org

[NicNat22]

thank you!! 

[ashiya5]

OMG!!! Thx u soo much!!! I was struggling with the MVT n u made it clear for me, now I can do my calculus hw without a problem. Thx again, ur a life saver xD

[starslasher1515]

The point I get confused on with MVT on # 44 is how you get the slope. I thought the slope is rise over run. y2-y1/ X2-X1, you have M = y2-x2/y1-x1 ? isn't that incorrect. I could be an idiot and just misinterpret it. I have been having problems in my class because my teacher in honors goes so fast, so can you just explain how you got 1-0/1-0 . I'm just confused. Thank you Rob, you've been getting me through my semester lol!

[Zeronautic]

@starslasher1515 You are misinterpreting it. y2-y1 = 1-0 in this case, and y2-x2 = 1-1.

[RobbWorld]

@starslasher1515

The coordinate is (0,0) and (1,1). The slope is 1 using the formula you stated for slope. Watch the video again. I'm glad the videos have helped.

[pnewm10]

@starslasher1515 hhahhhaha Y2-y1/x2-x1 IS 1-0/1-0... your result of the slope just happens to be the same as his because the finding of this slope is so simple that it doesnt include more numbers for YOU to see the difference in this situation.

[xROFLawsonx]

How did you know that 44) is MVT and not Rolle's?

[RobbWorld]

@xROFLawsonx

The textbook said so. :)

[xROFLawsonx]

@RobbWorld thanks!

[pnewm10]

@xROFLawsonx and rolles doesnt apply on  44)

[dietermoone007]

keep it up, calculus is some of the hardest subjects known to man. you make it sound simple. great job. i finally understand it compared to my 2hr lecture on rolles theroem and mean value thereom. AND your lesson is better than reading the definition of these theorems.

[HanaBanana139]

Thanks! This helped a ton!

[Reng1993]

Sir, you are AWESOME

[RobbWorld]

@Reng1993

You are awesome for finding help online. Check out my website wowmath.org for all my videos more organized.

[that7nigga7rio]

thank u so much for posting this i can take my calc final now

[MrZarky]

tony you're wrong, and he's right. -root 1/3 is not in the interval of [0,1]

however root 1/3 is in the interval of [0,1]

[tonyizhurr]

oops sorry don't know why but I was looking at problem #18 when i was looking at the intervals. my bad

[MetalDraciel]

LOL, i did the same mistake you did ! XD

[tonyizhurr]

-root 1/3 and + root 1/3 are both in the interval... both of those points have a slope of 1.

[lzkz]

=D

i like ur voice!

very interactive~

u understand? does it matter? right?

=D

[MagaCarey]

Very helpful

[SoggyWoffles]

it's so colorful :)

[imignap]

Great tutorial overall! stop yelling and change ur voice lol. when i first heard it, i just wanted to beat u up. keep making these vids tho

[Jedlessness]

dude this stuff is legit; helped me understand MVT so much more.

[trm6]

Thanks for the help! :D