Difference between revisions of "Derivative Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|function}} | {{command|function}} | ||
| − | ; 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]: {{description}} | + | ; Derivative[<Curve>]: {{description}} |
| − | ; Derivative[Curve, Number n]: {{description}} | + | ; Derivative[<Curve>, <Number n>]: {{description}} |
{{Note| 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| 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.}} | ||
| + | |||
| + | ==CAS Syntaxes== | ||
| + | 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 ''n''<sup>th</sup> derivative of ''f'' with respect to ''a''. | ||
| + | |||
| + | : {{Example|1= | ||
| + | :* <code>Derivative[x^2]</code> gives you "2x". | ||
| + | :* Assuming you've declared ''f'' as <code>f(x):=a*x^3</code> | ||
| + | :* <code>Derivative[f(x)];</code> gives you ''3a x²''. | ||
| + | :* <code>Derivative[f(x), a];</code> gives you ''x³''. | ||
| + | :* <code>Derivative[f(x), x, 2];</code> gives you ''6a x''.}} | ||
Revision as of 11:43, 29 July 2011
- Derivative[<Function>]
- Returns the derivative of the function.
- Derivative[<Function>, <Number n>]
- Returns the nth derivative of the function.
- Derivative[<Curve>]
Description of command / feature needed. Please enter it instead of this template into Manual:Derivative Command. so that it's included also to the public namespace. For more details see Project:HowTo
- Derivative[<Curve>, <Number n>]
Description of command / feature needed. Please enter it instead of this template into Manual:Derivative Command. so that it's included also to the public namespace. For more details see Project:HowTo
Note: You can usef'(x)instead ofDerivative[f], orf''(x)instead ofDerivative[f, 2], and so on.CAS Syntaxes
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 x³.Derivative[f(x), x, 2];gives you 6a x.
