# Difference between revisions of "Derivative Command" Jump to: navigation, search

##### Derivative

This article is about GeoGebra command.

##### Command Categories (All commands)

Derivative[<Function>]
Returns the derivative of the function.
Derivative[<Function>, <Number n>]
Returns the nth derivative of the function.
Derivative[<Curve>]
Returns the derivative of the curve.
Note: It only works for parametric curves.
Derivative[<Curve>, <Number n>]
Returns the nth derivative of the curve.
Note: It only works for parametric curves.
Note: You can use `f'(x)` instead of `Derivative[f]`, or `f''(x)` instead of `Derivative[f, 2]`, and so on.

## CAS Syntax

In CAS View only following syntax is supported:

Derivative[<Function f> or <Expression f>]
Returns derivative of f with respect to x.
Derivative[<Function f> or <Expression f>, <Variable a>]
Returns derivative of f with respect to a.
Derivative[<Function f> or <Expression f>, <Variable a>, <Number n>]
Returns the nth derivative of f with respect to a.
Example:
• `Derivative[x^2]` gives you "2x".

Assuming you've declared f as `f(x):=a*x^3`
• `Derivative[f(x)];` gives you 3a x².
• `Derivative[f(x), a];` gives you .
• `Derivative[f(x), x, 2];` gives you 6a x.
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