# Definition:Derivative/Notation/Leibniz Notation

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## Leibniz's Notation for Derivative

Leibniz's notation for the derivative of a function $y = f \left({x}\right)$ with respect to the independent variable $x$ is:

- $\dfrac {\mathrm d y} {\mathrm d x}$

## Historical Note

Leibniz's notation for a derivative came at about the same time that the manuscript dated $29$th October $1675$ in which the notation for the integral had been devised.

At the same time he introduced the differential symbol $\d$.

Thus he was soon writing $\d x$, $\d y$, and $\dfrac {\d y} {\d x}$ soon followed.

In his $1684$ article *Nova Methodus pro Maximis et Minimis*, published in *Acta Eruditorum*, he casually drops the notation in place with very little explanation.

## Sources

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next): Chapter $\text{VI}$: On the Seashore - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.19$: Leibniz ($1646$ – $1716$)