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it's funny how he makes attending classes seem like a waste of time.

Hey, I just wanna let you know that I am doing well in calculus because and only because of you. You really saved my ass here man. Best videos I've seen, they really make this difficult abstract class of theoretical math tangible and manageable. You deserve a medal of honor because your videos in calculus Orgo and physics have been instrumental to my success as a student. Thank you from the bottom of my heart you truly are a lifesaver. Your clarity in these subjects is unparalleled we need more educators like you in this world.

Rolles Theorem:
- see if f(x) is continuous (no holes, asymptotes..etc [denom can’t be 0]) in the closed interval.
- see if f(x) is différentiable. (derivative is continuous) in the open interval.
- check that f(a) = f(b) then there is a point where the derivative is 0 (has a horizontal tangent)
- take the derivative and write f’(c) solve for c, check if it’s in the interval.

Mean value theorem:
- must be continuous in [a,b]
- must be différentiable at (a,b)
- then f’(c) = f(b)-f(a) = b-a
(slope of tangent line = slope of secant line)

This channel will be your legacy. Long after you are gone, struggling calculus students will still be watching this video, praising the heavens and giving infinite gratitude that you once walked the same earth.

You my good sir, are a man among men.

I may be watching this 7 years later while taking calc 1 for the first time, but you are well appreciated for making these videos. I could not be understanding it this well without your explanations.

You are saving my AP Calculus grade!

Man, how slow and methodical your pacing is jives real well with my self-worth based anxiety. When ever I try to concentrate on a lecture on any subject I deem interesting my heart goes wild because I'm not used to indulging myself at any level. Thank God for you man, I really needed this.

22:33 MEAN VALUE THEOREM

the only reason im going to UW is because this man saved my gpa

This is the best tutorial on rolle's and mean value theorem i have ever seen...Nice one

wow
This is amazing. I'm having an exam on this tomorrow and I clearly understand it now. Thank you so much.

Still gaining from your video 8 year later👏🏽👏🏽

I’m truly blessed. I have an amazing Calculus Professor who teaches very well — plus my guy here for extra studies.

IF I WAS GOD,I WOULD GIVE YOU AN ADDITION OF MORE MANY YEARS TO LIVE!

I'm writing a test today at 2hours time ,I only had to watch 3 of your videos (which they don't even take more than 30 minutes each) and you covered my whole scope.my friends went to cross night ,they came back at 3am they still have covered everything and they are frustrated, luckily I have you ,I don't get to have headaches when it comes to SMTH and SPHS ,LOVE YOU LOADS.❤️

We need you @Midlands State University in Zimbabwe cause you so understable as compared to all my calculus lecturers😢🙌🏾💀

Is rolles theorem is all about finding local max or min between two points???? By the way this video is amazing!!!

you saved my life.

20:14 thank you very much i needed an edge case like this one, I almost forgot about the open/closed interval thing having never encountered something this