You are watching: D^2y/dx^2 meaning

Because it's the application of the differentiation operator d/dx twice to the function y:

(d/dx)(d/dx)y = (d/dx)2y = (d2/dx2)y = d2y/dx2.

This is one abuse that notation, since of course d/dx is no a fraction of 2 quantities, but the reason that Leibniz's notation is helpful is because viewing the derivative together a fraction (even though it's not) actually argues true facts, such together the chain rule:

dy/dx = (dy/du)(du/dx)

https://en.wikipedia.org/wiki/Leibniz%27s_notation

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Might I simply say, this comment has actually made me laugh much more than something I've review all week. Just the mental picture of Gottfried Leibniz cigarette smoking weed and saying "yo duuude check out this it's like, infinitesimals one shit"

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