❖ The Mean Value Theorem ❖

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! The Mean Value Theorem - In this video, I explain the MVT and then I find values of c in a certain interval for a particular function.
For more free math videos, visit PatrickJMT.com

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when you posted this stuff i was in grade seven and 8yrs later Iam now a computer engineering student it is still working I dont know how to thank you sir ,good work.

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god damn, u were doing calculus in 7th grade???

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@@dandan2oo yeah around half a million dollars a month😂

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Best online Calculus teacher

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+jonh 886 along with Professor leonard

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I love khan academy, but honestly its mostly for high school level stuff and It helped during hs. Patrick JMT helps me more with my college stuff. Whenever I needed help with calc 1 for my engineering coursework, I found Patrick jmt loads of help with related rates and optimization etc. and he totally saved my butt for many a calc exam. Thnx a lot.

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did you get your engineering degree? :)

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Don't stop what you're doing. You're one of the few people who can present calculus in less than 20 mins, and make complete sense, more so than any of my professors, and I've taken calculus 3 times. You're awesome, thanks so much.

[@patrickjmt]

thanks for telling your friends and thanks for the donation! ;)

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You honestly saved me from failing my final! Thank you so much !!

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The Meme Value Theorum

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after 9 years, still thank u!

[@patrickjmt]

you are very welcome :)

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[@atiquephyniatic]

Thank you for the explanation! I have been so confused for so long

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what a guy!!! I have my IB math HL option calculus test and you're saving my life

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[@patrickjmt]

yep, that is it! you can think of the slope of the line connecting the endpoints as being the mean in the sense that it represents the average rate of change of the function on that interval. it says there is a tangent line on the graph in that interval with the same average rate of change! so the instantaneous rate of change must equal the average rate of change!

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Patrick you are the BEST. love how you explain the math so laid down. makes it feels so easy

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i *heart* chess. i just beat some random IM

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Thank you for the clear explanation, it's an easy concept when you explain it.

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that really helped me. thanks Patrick

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You're the real OG and MVP bro

[@patrickjmt]

@dcperez87 thanks for the kind words! i will keep doing what i can!

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You the best.... I can clearly understand... Wish i had you as my lecture... Keep up the good work

[@MSuss98]

thank you soo much. this is great. i was stuck on this for the longest time and you explained it perfectly

[@misty348]

I honestly don't wanna sound cocky or anything when I ask this but I would really like someone to explain how this is used in everyday life and why are we made to learn it?

[@chrisbarrett5890]

do you study calc or your just taking a G.L.E.R. course? MVT helps with some calc and calc is a part of how we derive equationd for physics or I'm sure ( although I'm not taking chemistry ) some chemical equations. But in terms of everyday life alking around on the street nothing absolutely nothing.

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Pretty much any STEM field uses stuff like this.

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Its not really useful if you aren't becoming an engineer, but, without forming a basis of understanding for calculus a lot of modern technology we have today would not exist

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Math is extremely useful for describing and understanding the world. It applies to everything in the universe; literally everything and anything. There is nothing that exists that violates mathematics. If you understand an idea in mathematics, you understand something that is true about the very nature of reality, something that is timeless and eternal, something thats extremely abstract and yet more real than anything else. Math is useful because applies to everything you can think of, but even more so, its useful because its interesting and simply amazing.

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Because learning for the sake of knowledge is a beautiful thing.

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Your explanation for the negative exponent was something I was looking for hours. I got tired, so I moved on to your videos and BEHOLD the answer was here unexpectedly!

[@patrickjmt]

@jazmiyko you are welcome!

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Great Videos. I appreciate how you take the time to do these. Thanks!

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you are awesome man whenever i get confused with my math problems, i just come here and you just clear everything up you helped me so much, thanks so much

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I'm a high school student taking calculus with no pre requisite beyond algebra 1, so thank you, man. Your videos are life savers

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great help!!!! My teacher talking two hours on this than after your video I think I get it.

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[@MissSmammy]

You're videos have taught me what my Calculus professor has been trying to teach my class for 6 months and failed miserably at. And I’m a math major, so I am pretty good at math, but he does math and we watch while you explain. Thank You, you’re videos have helped save my Calc grade.

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I'm taking an 8 week course of Calculus. THANK YOU SO MUCH for clearing up many things that my Professor could not thoroughly explain! You are awesome Patrick!!

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[@theLuigiguy-legacy]

Glorious. Learned everything from 7 days of math in 15 minutes. I can do all my textbook probs now too! Thanks!

[@renetorres1932]

Great video! It really helped me understand more the MVT, thank you!

[@patrickjmt]

no worries! glad it helps

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Thanks for making this, loved the visual explanation.

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@like9orphanz glad you like them : ) i have tons of calc 2 stuff as well!

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@Misslovefly ha, no problem!

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Brilliant :D helped a lot

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the best ever explanation on mean value theorem. thanks.

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This helped so much for last minute studying for the AP calc. exam tomorrow. Thanks!

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Great video. Thank you! It is impressive how you can explain this so much better than my calculus teacher. It is actually extremely simple!

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watching this before my final tomorrow. thank you so so much.

[@infx22]

Hello thank you so much. I need help on one problem though. I need to give an example of a function with fails to satisfy the hypotheses and satisfies the conclusion. Any help would be great thanks.

[@notoriou5house]

I learn more from you then I do in my lectures Thank you!

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I simply cannot understand WHY my professor would leave virtually ALL of this surrounding information out of our lesson on this theorem. Thank you so very much for illuminating the facts of this process/calculation. I'm stunned.

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If you taught calc here at my university, your class would be filled within an hour from registration opening. Best math teacher hands down here.

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I can't thank you enough! ^.^ You really help out a lot of people like me. Just some quick last minute studying and this is really making sense. You are better than my teacher at explaining this!

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You make it so simple and easy, I like your channel

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Doing the Algebra part in the end was a lot of fun ! ;) Thanks Patrick !

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thank you for this video, good explanation!

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you are amazing! thank you for saving my grade and gettting me to actually enjoy my class

[@coinspiningeek4life]

Would you say that the Mean Value Theorem is kind of like the derivative of the Intermediate Value Theorem? Why or Why not? I had this discussion with my teacher and he hasn't gotten back to me yet. Thanks!

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you are a life saver!! keep up the excellent work :)

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Thank you so much for your videos...I learn more here watching your videos, than in school..

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Great explaination, even not understanding english very well, I get your explaination for this! Thanks a lot ;)

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