You are watching: (dy/dx)^2

Because it's the applications 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 an abuse the notation, due to the fact that of course d/dx is no a portion of two quantities, but the reason that Leibniz's notation is valuable is since 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)

More about Leibniz's notation:

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

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Comment turned off by user · 8y

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· 8y
A couple of answers: http://math.stackexchange.com/questions/475016/leibniz-notation-for-high-order-derivatives

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· 8y

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

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