Derivative ↩

Metadata

shorthands: {}
aliases: [Differentiable, Differentiable function, derivative]
created: 2021-12-14 01:17:07
modified: 2022-01-19 16:39:01

A function of a real variable

is differentiable at a point

of its domain, if its domain contains an open interval

containing

and the limit

exists. This implies that the function is continuous at .

If the function is differentiable at , i.e. the limit exists, then this limit is called the derivative of at .

Notation: or