# Derivative

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The derivative of a function is defined as the instantaneous rate of change of the function with respect to one of the variables.

## Notation

The following are commonly recognized notations for expressing the derivative of a function.

Common Notations for the Derivative of a Function
Name of Notation Example of Notation
Lagrange's notation $f'(x)$
$f''(x)$
$f'''(x)$
$\vdots$