Difference between revisions of "Derivative Command"
From GeoGebra Manual
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; Derivative[<Function>]: Returns the derivative of the function. | ; Derivative[<Function>]: Returns the derivative of the function. | ||
; Derivative[<Function>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the function. | ; Derivative[<Function>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the function. | ||
− | ; Derivative[<Curve>]: {{ | + | ; Derivative[<Curve>]: Returns the derivative of the curve. |
− | ; Derivative[<Curve>, <Number n>]: {{ | + | :{{Note|It only works for parametric curves.}} |
+ | ; Derivative[<Curve>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the curve. | ||
+ | :{{Note|It only works for parametric curves.}} | ||
{{Note| 1=You can use <code>f'(x)</code> instead of <code>Derivative[f]</code>, or <code>f<nowiki>''</nowiki>(x)</code> instead of <code>Derivative[f, 2]</code>, and so on.}} | {{Note| 1=You can use <code>f'(x)</code> instead of <code>Derivative[f]</code>, or <code>f<nowiki>''</nowiki>(x)</code> instead of <code>Derivative[f, 2]</code>, and so on.}} |
Revision as of 10:11, 4 August 2011
- 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.