# Definition:Differentiation

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## Definition

The process of obtaining the derivative of a differentiable function $f$ with respect to $x$ is known as:

**differentiation (of $f$) with respect to $x$**

or

**differentiation WRT $x$**

## Also known as

The technique of **differentiation** was called the **method of fluxions** by Isaac Newton.

The word **fluxion** evokes the concept of quantities **flowing** towards zero.

Hence the implicit dependence upon continuity.

## Sources

- 1960: P.J. Hilton:
*Partial Derivatives*... (previous) ... (next): Chapter $1$: Partial Derivatives and Partial Differentiation - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $8$: The System of the World: Calculus