Definition:Differential/Notation

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Notation for Differential

There are various notations for the differential of a function $f$ at $x$:

  • $\d f \left({x}\right)$
  • $\d f_x$
  • $\d_x f$
  • $D f \left({x}\right)$
  • $D_x f$


Substituting $\d y$ for $\d f \left({x; h}\right)$ and $\d x$ for $h$, the following notation emerges:

$\d y = f' \left({x}\right) \rd x$

hence:

$\d y = \dfrac {\d y} {\d x} \rd x$


Sources