Mean Value Theorem
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thank you for explaining open/closed interval
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photosynthesis, respiration, mean value theorem...khan academy is always there to help me when i need it (and thank god - my grade would have suffered greatly without it)
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@Oboeplayer511 you just made that up
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Why can't teachers and textbooks just explain right on the spot with simple words instead of trying to make it sound all scholarly and beating around the bush?
3 weeks ago 4
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Say the interval is [a,b], can C be equal to a? or just the open interval ( A point somewhere between a and b )?
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you make my life so much easier you have no idea. my book makes no sense to me but you make it make sense. thank you so much!
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hi, im a fellow youtuber and i think your channel is really awesome i subbed :)
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yes i do believe it calls for magenta
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THIS CALLS FOR MAGENTA
roneykaithpalmaria 1 month ago 10
It's cool if you solve this for a general quadratic; Ax^2+Bx+C for the interval [h,k]
(A(h^2)+B(h)+C)-(A(k)^2+B(k)+C))/(h-k)=2Ax+B (derivative of the general quadratic)
(A(h^2)-A(k)^2+B(h)-B(k))/(h-k)=2Ax+B
(A(h^2-k^2)+B(h-k))/(h-k)=2Ax+B
(A(h-k)(h+k)+B(h-k))/(h-k)=2Ax+B
A(h+k)+B=2Ax+B
A(h+k)=2Ax
x=(h+k)/2
so the x-coordinate for any parabola where the average slope is equal to the slope of the derivative at the point is equal to the average of the endpoints of that interval...FASCINATING
Oboeplayer511 6 months ago in playlist Calculus 6