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

Because it's the application of the differentiation operator d/dx double 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 portion of two quantities, but the factor that Leibniz's notation is useful is since viewing the derivative together a portion (even despite it's not) actually suggests true facts, such as 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 made me laugh much more than anything I've review all week. Simply the mental picture of Gottfried Leibniz smoking cigarettes weed and saying "yo duuude inspect out this it's like, infinitesimals an shit"

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