We are often taught that $f'$ came from Newton and $\frac{df}{dx}$ came from Leibniz, but who introduced $Df$? Are there other notations for this simple idea by famous mathematicians?
2025-01-12 23:56:44.1736726204
Who invented the notation $Df$ for the derivative?
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Newton came up with $\dot{y}(t)$ (fluxion), which is still used in physics. Lagrange with $f'$. According to this source $D$ was used (as operator) by Arbogast first.
According to Wikipedia, this is Euler's notation. You can find some more discussion of notations on the linked page. One other notation of particular note is $\dot x$ to mean the derivative of a quantity $x$ with respect to time. This is a reasonably common notation in physics, though is less often seen in pure mathematical contexts.