Gibbs (1889, p. 140): $ \qquad \dfrac{d\,\log\mathrm V}{d\,\log p} = - \dfrac{d\,\log n}{d\,\log\lambda} $
Gauss (1876, p. 401): $ \qquad \dfrac{\mathrm{d\,d}\,P}{(\mathrm{d}\log\eta)^2}= \dfrac{\mathrm d\,P}{\mathrm d\log y} $
Riemann (1868, p. 89): $ \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): $ \quad\ \dfrac d{d\log t}\,(1+t)^{-m}\,\mathrm T_m $
Jacobi (1841, p. 336): $ \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): $ \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 $
Gauss (1809, p. 27): $ \qquad \dfrac{\mathrm{d}\frac12v}{\mathrm{d}\log\operatorname{tang}\frac12v}= \dfrac{\sin v}2 $
L’Huilier (1795, p. 96): $ \qquad \dfrac{d.a^{\mathrm z}}{d.\log.z}= A.a^{\mathrm z}$