Difference between revisions of "ImplicitDerivative Command"
From GeoGebra Manual
m (Bot: Automated text replacement (-{{betamanual|version=4.2}} + )) |
|||
| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|cas=true|function}} | {{command|cas=true|function}} | ||
| − | ;ImplicitDerivative[ < | + | ;ImplicitDerivative[ <f(x, y)> ] |
:Gives the [[w:Implicit derivative|implicit derivative]] of the given expression. | :Gives the [[w:Implicit derivative|implicit derivative]] of the given expression. | ||
:{{example|1=<div><code><nowiki>ImplicitDerivative[x + 2 y]</nowiki></code> yields ''-0.5''.</div>}} | :{{example|1=<div><code><nowiki>ImplicitDerivative[x + 2 y]</nowiki></code> yields ''-0.5''.</div>}} | ||
| − | |||
==CAS Syntax== | ==CAS Syntax== | ||
| + | ;ImplicitDerivative[ <f(x, y)> ] | ||
| + | :Gives the [[w:Implicit derivative|implicit derivative]] of the given expression. | ||
| + | :{{example|1=<div><code><nowiki>ImplicitDerivative[x + 2 y]</nowiki></code> yields ''-<math>\frac{1}{2}</math>''.</div>}} | ||
;ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent Variable> ] | ;ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent Variable> ] | ||
:Gives the [[w:Implicit derivative|implicit derivative]] of the given expression. | :Gives the [[w:Implicit derivative|implicit derivative]] of the given expression. | ||
:{{example|1=<div><code><nowiki>ImplicitDerivative[x^2 + y^2, y, x]</nowiki></code> yields ''-<math>\frac{x}{y}</math>''.</div>}} | :{{example|1=<div><code><nowiki>ImplicitDerivative[x^2 + y^2, y, x]</nowiki></code> yields ''-<math>\frac{x}{y}</math>''.</div>}} | ||
| + | {{note| 1=<div>See also [[Derivative Command]].</div>}} | ||
Revision as of 10:39, 22 March 2013
- ImplicitDerivative[ <f(x, y)> ]
- Gives the implicit derivative of the given expression.
- Example:
ImplicitDerivative[x + 2 y]yields -0.5.
CAS Syntax
- ImplicitDerivative[ <f(x, y)> ]
- Gives the implicit derivative of the given expression.
- Example:
ImplicitDerivative[x + 2 y]yields -\frac{1}{2}.
- ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent Variable> ]
- Gives the implicit derivative of the given expression.
- Example:
ImplicitDerivative[x^2 + y^2, y, x]yields -\frac{x}{y}.
Note:
See also Derivative Command.
