Gibbs ([1889, p. 140](https://archive.org/stream/americanjourna3371889newh#page/140)):
$
\qquad
\dfrac{d\,\log\mathrm V}{d\,\log p} = - 
\dfrac{d\,\log n}{d\,\log\lambda}
$

Gauss ([1876, p. 401](https://archive.org/stream/werkecarlf03gausrich#page/n414)):
$
\qquad
\dfrac{\mathrm{d\,d}\,P}{(\mathrm{d}\log\eta)^2}=
\dfrac{\mathrm d\,P}{\mathrm d\log y}
$

Riemann ([1868, p. 89](https://gdz.sub.uni-goettingen.de/id/PPN250442582_0013?tify={"pages":[199]})):
$
\qquad
\dfrac{d^2y}{dx^2}-\dfrac1{\alpha\alpha}\dfrac{d^2y}{dt^2}=4\dfrac{d\smash[t]{\dfrac{dy}{d(x+\alpha t)}}}{d(x-\alpha t)}
$

Hamilton ([1843, p. 362](https://archive.org/details/s03philosophicalmag23londuoft/page/362)):
$
\quad\ \dfrac d{d\log t}\,(1+t)^{-m}\,\mathrm T_m
$

Jacobi ([1841, p. 336](https://books.google.com/books?id=mgRCAAAAcAAJ&pg=PA336)):
$
\qquad
\dfrac{\partial R}{\partial a}= \sum\cdot \dfrac{\partial R}{\partial \frac{\partial f_i}{\partial x_k}}\cdot\dfrac{\partial^2 f_i}{\partial a\,\partial x_k}
$

Legendre ([1826, p. 466](https://archive.org/stream/bub_gb_c4M_AAAAcAAJ#page/n491)):
$
\quad
\dfrac{d\,l\,\Gamma a}{da} +
\dfrac{d\,l\,\Gamma(\frac12+ a)}{d(\frac12+ a)} - 
\dfrac{2d\,l\,\Gamma(2a)}{d(2a)} =
-2l\,2
$

L’Huilier ([1795, p. 96](https://archive.org/stream/principiorumcal00lhugoog#page/n136)):
$
\qquad
\dfrac{d.a^{\mathrm z}}{d.\log.z}= A.a^{\mathrm z}$