Proof of Lagrange Error Bound

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Despite the proof being so straightforward, this took me quite some time to derive.
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Amazing proof. I could not find anything that explained the proof this intuitively and cleanly. Thank you.

baamdoe
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Thank you! Most straightforward explanation I have come across.

fairgamed
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This is not correct! If any derivative of f is smaller than 0 in point (x), then the last inequality does not hold. Please fix this as per a mention in your video. I have written this out in a LaTeX document, should anybody be interested, feel free to contact me.

fastpinguin