# Power Rule for Derivatives/Historical Note

## Historical Note on Power Rule for Derivatives

The Power Rule for Derivatives was stated, without proof or explanation, by Gottfried Wilhelm von Leibniz in his $1684$ article *Nova Methodus pro Maximis et Minimis*, published in *Acta Eruditorum*.

Isaac Newton had established exactly the same result in a privately circulated paper of $1669$: *On Analysis by Means of Equations with an Infinite Number of Terms*, by investigation the nature of a function whose area under the graph is $x^m$.

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.19$: Leibniz ($1646$ – $1716$) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $8$: The System of the World