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I know how to write in Leibniz notation for more plain-vanilla expressions like the the second derivative of y with respect to x. But I am not sure how to write, in Leibniz notation, the second derivative of y with respect to expressions more complex than a single variable. In, for example, the second derivative of y with respect to the square of x, would I just use parentheses and write $dy^2/d(x^2)^2$?

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    $\begingroup$ It’s $d^2y$, not $dy^2$. $\endgroup$ – KM101 Jan 7 '19 at 18:50
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Indeed, if $z=x^2$ and you need $$ \frac{d^2y}{dz^2} = \frac{d^2 y}{d\left(x^2\right)^2} $$

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  • $\begingroup$ Thanks so much! That's just the answer I needed. $\endgroup$ – resplaine Jan 7 '19 at 18:58

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