Derivative Command
From GeoGebra Manual
Revision as of 10:11, 4 August 2011 by Andrea.duringer (talk | contribs)
- 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 asf(x):=a*x^3
Derivative[f(x)];
gives you 3a x².Derivative[f(x), a];
gives you x³.Derivative[f(x), x, 2];
gives you 6a x.